Arithmetic Sequence Formula<\/title>\r\n\r\n<style>\r\n.math-card{\r\n max-width:500px;\r\n margin:auto;\r\n background:#fff;\r\n padding:20px;\r\n border-radius:18px;\r\n box-shadow:0 10px 25px rgba(0,0,0,0.08);\r\n font-family:Arial,sans-serif;\r\n}\r\n\r\n.slider{\r\n width:100%;\r\n margin-bottom:20px;\r\n}\r\n\r\n.sequence-box{\r\n display:flex;\r\n justify-content:center;\r\n margin-bottom:20px;\r\n}\r\n\r\n.sequence-circle{\r\n width:200px;\r\n height:200px;\r\n border:5px solid #2563eb;\r\n border-radius:50%;\r\n position:relative;\r\n background:rgba(37,99,235,0.08);\r\n}\r\n\r\n.step-line{\r\n width:80px;\r\n height:4px;\r\n background:#10b981;\r\n position:absolute;\r\n top:50%;\r\n left:50%;\r\n transform-origin:left center;\r\n animation:spin 5s linear infinite;\r\n}\r\n\r\n.center-dot{\r\n width:14px;\r\n height:14px;\r\n background:red;\r\n border-radius:50%;\r\n position:absolute;\r\n top:50%;\r\n left:50%;\r\n transform:translate(-50%,-50%);\r\n}\r\n\r\n.term-text{\r\n position:absolute;\r\n top:35%;\r\n left:55%;\r\n color:#10b981;\r\n font-weight:bold;\r\n}\r\n\r\n.result-text{\r\n position:absolute;\r\n bottom:-30px;\r\n left:25px;\r\n color:#7c3aed;\r\n font-weight:bold;\r\n}\r\n\r\ntable{\r\n width:100%;\r\n border-collapse:collapse;\r\n}\r\n\r\ntable th,\r\ntable td{\r\n border:1px solid #ddd;\r\n padding:12px;\r\n}\r\n\r\ntable th{\r\n background:#f3f4f6;\r\n}\r\n\r\n@keyframes spin{\r\n from{transform:rotate(0deg);}\r\n to{transform:rotate(360deg);}\r\n}\r\n<\/style>\r\n\r\n<\/head>\r\n\r\n<body>\r\n\r\n<div class=\"math-card\">\r\n\r\n <h2>Arithmetic Sequence Formula<\/h2>\r\n\r\n <p>Move the slider to find the nth term of an arithmetic sequence.<\/p>\r\n\r\n <input type=\"range\" min=\"1\" max=\"20\" value=\"5\" class=\"slider\" id=\"termSlider\"\/>\r\n\r\n <div class=\"sequence-box\">\r\n <div class=\"sequence-circle\">\r\n\r\n <div class=\"step-line\"><\/div>\r\n <div class=\"center-dot\"><\/div>\r\n\r\n <div class=\"term-text\">\r\n n = <span id=\"nVal\">5<\/span>\r\n <\/div>\r\n\r\n <div class=\"result-text\">\r\n a\u2099 = <span id=\"anVal\">21<\/span>\r\n <\/div>\r\n\r\n <\/div>\r\n <\/div>\r\n\r\n <table>\r\n <tr>\r\n <th>Formula<\/th>\r\n <td>a\u2099 = a\u2081 + (n \u2212 1)d<\/td>\r\n <\/tr>\r\n\r\n <tr>\r\n <th>First Term (a\u2081)<\/th>\r\n <td>1<\/td>\r\n <\/tr>\r\n\r\n <tr>\r\n <th>Common Difference (d)<\/th>\r\n <td>5<\/td>\r\n <\/tr>\r\n\r\n <tr>\r\n <th>Term Number (n)<\/th>\r\n <td><span id=\"tableN\">5<\/span><\/td>\r\n <\/tr>\r\n\r\n <tr>\r\n <th>Result (a\u2099)<\/th>\r\n <td><span id=\"tableAn\">21<\/span><\/td>\r\n <\/tr>\r\n <\/table>\r\n\r\n<\/div>\r\n\r\n<script>\r\nconst slider = document.getElementById(\"termSlider\");\r\n\r\nslider.oninput = function(){\r\n\r\n let n = this.value;\r\n let a1 = 1;\r\n let d = 5;\r\n\r\n let an = a1 + (n - 1) * d;\r\n\r\n document.getElementById(\"nVal\").innerHTML = n;\r\n document.getElementById(\"anVal\").innerHTML = an;\r\n\r\n document.getElementById(\"tableN\").innerHTML = n;\r\n document.getElementById(\"tableAn\").innerHTML = an;\r\n};\r\n<\/script>\r\n\r\n<\/body>\r\n<\/html>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-58f24f4 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"58f24f4\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7f4c3f7\" data-id=\"7f4c3f7\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1ac7800 elementor-widget elementor-widget-text-editor\" data-id=\"1ac7800\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p>The arithmetic sequence formula is an essential tool used to calculate both the nth term and the sum of the sequence, where the difference between consecutive terms remains constant. In simple terms, an arithmetic sequence follows a fixed pattern, which makes calculations easier and faster.<\/p><p>Moreover, whenever you need to find a specific term or the total sum of terms, the formula for an arithmetic sequence becomes extremely useful. So let’s dive in to this concept step by step with easy explanations and practical examples.<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-c16bc67 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c16bc67\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a9708ea\" data-id=\"a9708ea\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3ec181a elementor-widget elementor-widget-text-editor\" data-id=\"3ec181a\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>What is an Arithmetic Sequence?<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-b379ebd elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b379ebd\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ff2c9e2\" data-id=\"ff2c9e2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8f5f930 elementor-widget elementor-widget-text-editor\" data-id=\"8f5f930\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p>An arithmetic sequence is written in the form:<\/p><p>a, a + d, a + 2d, a + 3d, \u2026 up to n terms<\/p><p>Here:<\/p><p>1 a(a (or a\u2081) =First term<\/p><p>d = common difference<\/p><p>n = number of terms<\/p><p>In addition, the common difference remains constant throughout the sequence. Therefore, identifying the first term and the difference is the first step in using the arithmetic sequence formula.<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-4a0d764 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4a0d764\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d4ba10f\" data-id=\"d4ba10f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8f6d484 elementor-widget elementor-widget-text-editor\" data-id=\"8f6d484\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>Arithmetic Sequence Formula Overview<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-7826f8d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7826f8d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-8bec1dc\" data-id=\"8bec1dc\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f6f8eb6 elementor-widget elementor-widget-text-editor\" data-id=\"f6f8eb6\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">There are different formulas associated with arithmetic sequences. Each formula helps in solving a specific type of problem.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-e97b1eb elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e97b1eb\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-64da640\" data-id=\"64da640\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e5eaa05 elementor-widget elementor-widget-html\" data-id=\"e5eaa05\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<!DOCTYPE html>\r\n<html lang=\"en\">\r\n<head>\r\n<meta charset=\"UTF-8\"\/>\r\n<title>Arithmetic Sequence Formulas<\/title>\r\n\r\n<style>\r\n body{\r\n font-family: Arial, sans-serif;\r\n background:#f2f2f2;\r\n margin:20px;\r\n }\r\n\r\n .table-container{\r\n max-width: 1000px;\r\n margin:auto;\r\n background:#ffffff;\r\n border-radius:10px;\r\n overflow:hidden;\r\n box-shadow:0 4px 10px rgba(0,0,0,0.1);\r\n }\r\n\r\n h2{\r\n text-align:center;\r\n padding:15px;\r\n background:#4a90e2;\r\n color:white;\r\n margin:0;\r\n }\r\n\r\n table{\r\n width:100%;\r\n border-collapse:collapse;\r\n }\r\n\r\n th, td{\r\n border:1px solid #ddd;\r\n padding:12px;\r\n vertical-align:top;\r\n text-align:left;\r\n line-height:1.6;\r\n }\r\n\r\n th{\r\n background:#e8f0fe;\r\n }\r\n\r\n tr:nth-child(even){\r\n background:#fafafa;\r\n }\r\n\r\n .formula{\r\n font-weight:bold;\r\n color:#2c3e50;\r\n }\r\n<\/style>\r\n\r\n<\/head>\r\n\r\n<body>\r\n\r\n<div class=\"table-container\">\r\n <h2>Arithmetic Sequence Formulas<\/h2>\r\n\r\n <table>\r\n <tr>\r\n <th>Topic<\/th>\r\n <th>Explanation<\/th>\r\n <th>Formula<\/th>\r\n <th>Key Points<\/th>\r\n <\/tr>\r\n\r\n <tr>\r\n <td>Explicit Formula for Arithmetic Sequence<\/td>\r\n <td>The explicit formula for an arithmetic sequence helps find any term directly:\r\n<\/td>\r\n <td class=\"formula\">a\u2099 = a\u2081 + (n \u2212 1)d<\/td>\r\n <td>\r\n a\u2099 = nth term <br \/>\r\n a\u2081 = first term <br \/>\r\n d = common difference <br \/>\r\n As a result you can quickly calculate any terms without listing all previous terms.\r\n <\/td>\r\n <\/tr>\r\n\r\n <tr>\r\n <td>Recursive Formula for an Arithmetic Sequence\r\n<\/td>\r\n <td>The recursive formula defines each term based on the previous term in the sequence.<\/td>\r\n <td class=\"formula\">a\u2099 = a\u2099\u208b\u2081 + d<\/td>\r\n <td>\r\n This means each term is obtained by adding the common difference to the previous term. Therefore, this method is useful when building the sequence step by step.\r\n\r\n <\/td>\r\n <\/tr>\r\n\r\n <tr>\r\n <td>Sum of an arithmetic sequence Formula\r\n<\/td>\r\n <td>The sum of an arithmetic sequence formula is used to find the total of the first n terms.\r\n<\/td>\r\n <td class=\"formula\">\r\n Sn = (n\/2) [2a\u2081 + (n \u2212 1)d]\r\nOR\r\nSn = (n\/2) [a\u2081 + an]\r\n\r\n\r\n\r\n <\/td>\r\n <td>\r\n Where:\r\n S\u2099 = sum of n terms <br \/>\r\n a\u2081 = first term <br \/>\r\n a\u2099 = nth term <br \/>\r\n Thus, depending on the given values, you can choose the most convenient formula.\r\n\r\n <\/td>\r\n <\/tr>\r\n\r\n <tr>\r\n <td>Formula for Common Difference<\/td>\r\n <td>The formula for an arithmetic sequence also helps find the common difference:<\/td>\r\n <td class=\"formula\">d = a\u2099 \u2212 a\u2099\u208b\u2081<\/td>\r\n <td>\r\n This formula is especially helpful when the difference is not directly given.\r\n\r\n <\/td>\r\n <\/tr>\r\n\r\n <\/table>\r\n<\/div>\r\n\r\n<\/body>\r\n<\/html>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-8bbd269 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8bbd269\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-72d08c4\" data-id=\"72d08c4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1a98d92 elementor-widget elementor-widget-text-editor\" data-id=\"1a98d92\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><b>Applications of the Arithmetic Sequence Formula<\/b><\/p><p><span style=\"font-weight: 400;\">The <\/span>arithmetic sequence formula<span style=\"font-weight: 400;\"> is not just theoretical\u2014it appears in everyday life. For instance:\u00a0<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Stacking objects like cups or chairs follows a pattern<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Seating arrangements in stadiums increase regularly\u00a0<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Clock movements follow consistent intervals\u00a0<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Leap years occur every 4 years.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Birthday candles increase yearly<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">Therefore, arithmetic sequences are everywhere around us.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-684331c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"684331c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a710fd9\" data-id=\"a710fd9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-61e17c4 elementor-widget elementor-widget-text-editor\" data-id=\"61e17c4\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>Examples using Arithmetic Sequence Formula<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-a461fb8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a461fb8\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6fee17c\" data-id=\"6fee17c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8715375 elementor-widget elementor-widget-text-editor\" data-id=\"8715375\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">Let’s understand the concept better with solved examples.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-106f0f9 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"106f0f9\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-fa37b2a\" data-id=\"fa37b2a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f996401 elementor-widget elementor-widget-html\" data-id=\"f996401\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<!DOCTYPE html>\r\n<html lang=\"en\">\r\n<head>\r\n<meta charset=\"UTF-8\"\/>\r\n<title>Arithmetic Sequence Examples<\/title>\r\n\r\n<style>\r\n body{\r\n font-family: Arial, sans-serif;\r\n background:#f4f6f8;\r\n margin:20px;\r\n }\r\n\r\n .table-box{\r\n max-width: 1000px;\r\n margin:auto;\r\n background:#ffffff;\r\n border-radius:10px;\r\n overflow:hidden;\r\n box-shadow:0 4px 12px rgba(0,0,0,0.1);\r\n }\r\n\r\n h2{\r\n text-align:center;\r\n background:#6c63ff;\r\n color:white;\r\n padding:15px;\r\n margin:0;\r\n }\r\n\r\n table{\r\n width:100%;\r\n border-collapse:collapse;\r\n }\r\n\r\n th, td{\r\n border:1px solid #ddd;\r\n padding:12px;\r\n text-align:left;\r\n vertical-align:top;\r\n line-height:1.6;\r\n }\r\n\r\n th{\r\n background:#eef1ff;\r\n font-weight:bold;\r\n }\r\n\r\n tr:nth-child(even){\r\n background:#fafafa;\r\n }\r\n\r\n .formula{\r\n font-weight:bold;\r\n color:#2c3e50;\r\n }\r\n\r\n .answer{\r\n color:#0a7d3b;\r\n font-weight:bold;\r\n }\r\n<\/style>\r\n\r\n<\/head>\r\n\r\n<body>\r\n\r\n<div class=\"table-box\">\r\n <h2>Arithmetic Sequence Solved Examples<\/h2>\r\n\r\n <table>\r\n <tr>\r\n <th>Example<\/th>\r\n <th>Given<\/th>\r\n <th>Formula Used<\/th>\r\n <th>Steps<\/th>\r\n <th>Answer<\/th>\r\n <\/tr>\r\n\r\n <tr>\r\n <td><strong>Example 1: Find the 13th Term<\/strong><br \/>Sequence: 1, 5, 9, 13...<\/td>\r\n \r\n <td>\r\n First term (a\u2081) = 1 <br \/>\r\n Common difference (d) = 4 <br \/>\r\n n = 13\r\n <\/td>\r\n\r\n <td class=\"formula\">\r\n a\u2099 = a\u2081 + (n \u2212 1)d\r\n <\/td>\r\n\r\n <td>\r\n a\u2081\u2083 = 1 + (13 \u2212 1) \u00d7 4 <br \/>\r\n a\u2081\u2083 = 1 + 12 \u00d7 4 <br \/>\r\n a\u2081\u2083 = 1 + 48 <br \/>\r\n a\u2081\u2083 = 49\r\n <\/td>\r\n\r\n <td class=\"answer\">\r\n The 13th term is 49\r\n <\/td>\r\n <\/tr>\r\n\r\n <tr>\r\n <td><strong>Example 2: Find the First Term<\/strong><\/td>\r\n\r\n <td>\r\n a\u2099 = 687 <br \/>\r\n n = 35 <br \/>\r\n d = 14\r\n <\/td>\r\n\r\n <td class=\"formula\">\r\n a\u2099 = a\u2081 + (n \u2212 1)d\r\n <\/td>\r\n\r\n <td>\r\n 687 = a\u2081 + (35 \u2212 1) \u00d7 14 <br \/>\r\n 687 = a\u2081 + 34 \u00d7 14 <br \/>\r\n 687 = a\u2081 + 476 <br \/>\r\n a\u2081 = 687 \u2212 476 <br \/>\r\n a\u2081 = 211\r\n <\/td>\r\n\r\n <td class=\"answer\">\r\n The first term is 211\r\n <\/td>\r\n <\/tr>\r\n\r\n <tr>\r\n <td><strong>Example 3: Find the Sum of First 25 Terms<\/strong><br \/>Sequence: 3 + 7 + 11 + \u2026\r\n<\/td>\r\n\r\n <td>\r\n First term (a\u2081) = 3 <br \/>\r\n Common difference (d) = 4 <br \/>\r\n n = 25\r\n <\/td>\r\n\r\n <td class=\"formula\">\r\n S\u2099 = (n\/2) [2a\u2081 + (n \u2212 1)d]\r\n <\/td>\r\n\r\n <td>\r\n S\u2082\u2085 = (25\/2) [2\u00d73 + (25 \u2212 1)\u00d74] <br \/>\r\n = (25\/2) [6 + 96] <br \/>\r\n = (25\/2) \u00d7 102 <br \/>\r\n = 1275\r\n <\/td>\r\n\r\n <td class=\"answer\">\r\n The sum is 1275\r\n <\/td>\r\n <\/tr>\r\n\r\n <\/table>\r\n<\/div>\r\n\r\n<\/body>\r\n<\/html>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-10a7e3b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"10a7e3b\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-35c700d\" data-id=\"35c700d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8a68dcf elementor-widget elementor-widget-text-editor\" data-id=\"8a68dcf\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><strong><em>Read more related articles:<\/em><\/strong><\/p><p><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/how-to-find-the-area-of-a-circle\/\">\u2705<\/a><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/vertex-formula-explained\/\">What is the Vertex Formula?<\/a><\/p><p><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/horizontal-asymptote\/\">\u2705Horizontal Asymptote: Rules, Formula, and Easy Examples<\/a><\/p><p><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/how-to-find-the-radius-of-a-circle\/\">\u2705How to Find the Radius of a Circle: Easy Formulas and Examples<\/a><\/p><p><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/how-to-find-the-radius-of-a-circle\/\">\u2705<\/a><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/integration-of-cosec-x-formula\/\">What is the Integration of Cosec X?<\/a><\/p><p><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/wallis-formula-integration-sine-cosine\/\">\u2705The Wallis Formula: Integrating Powers of Sine and Cosine Instantly<\/a><\/p><p class=\"elementor-post__title\"><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/kings-rule-in-definite-integrals\/\">\u2705How to Use King\u2019s Rule in Definite Integrals: Formulas & Solved Examples<\/a><\/p><p class=\"elementor-post__title\"><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/kings-rule-in-definite-integrals\/\">\u2705<\/a><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/what-is-long-division-method\/\">What is the Long Division Method? Step-by-Step Guide for Kids<\/a><\/p><p class=\"elementor-post__title\"><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/use-of-cosine-formula\/\">\u2705How to Use the Cosine Formula to Find Missing Sides and Angles<\/a><\/p><p class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/use-of-cosine-formula\/\">\u2705<\/a><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/formulas-for-a3-b3\/\">Formulas for (a^3 \u2013 b^3) and (a^3 + b^3)<\/a><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-138265f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"138265f\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5085a8d\" data-id=\"5085a8d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a3425f9 elementor-widget elementor-widget-html\" data-id=\"a3425f9\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<!DOCTYPE html>\r\n<html lang=\"en\">\r\n<head>\r\n<meta charset=\"UTF-8\"\/>\r\n<title>Headline Design<\/title>\r\n\r\n<style>\r\n body {\r\n margin: 0;\r\n padding: 0;\r\n font-family: Arial, sans-serif;\r\n background: #f4f4f4;\r\n }\r\n\r\n .headline-container {\r\n display: flex;\r\n justify-content: center;\r\n align-items: center;\r\n height: 20vh;\r\n }\r\n\r\n .headline-box {\r\n background: linear-gradient(135deg, #6a11cb, #2575fc);\r\n padding: 0px 0px;\r\n border-radius: 20px;\r\n border: 4px solid #ffffff;\r\n text-align: center;\r\n color: #ffffff;\r\n max-width: 900px;\r\n width: 50%;\r\n box-shadow: 0 8px 20px rgba(0,0,0,0.2);\r\n }\r\n\r\n .headline-box h1 {\r\n margin: 0;\r\n font-size: 30px;\r\n letter-spacing: 1px;\r\n }\r\n<\/style>\r\n\r\n<\/head>\r\n<body>\r\n\r\n<div class=\"headline-container\">\r\n <div class=\"headline-box\">\r\n <h1>Final Thought:\r\n\r\n<\/h1>\r\n <\/div>\r\n<\/div>\r\n\r\n<\/body>\r\n<\/html>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-01756e8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"01756e8\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-f606cc9\" data-id=\"f606cc9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bb91020 elementor-widget elementor-widget-text-editor\" data-id=\"bb91020\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><b>In conclusion,<\/b><span style=\"font-weight: 400;\"> the arithmetic sequence formula makes it easy to work with sequences that follow a constant pattern. Whether you are using the explicit formula for an arithmetic sequence, the recursive formula for an arithmetic sequence, or the sum of arithmetic sequences formula, each method helps solve problems efficiently.<\/span><\/p><p><span style=\"font-weight: 400;\">Furthermore, mastering the formula for an arithmetic sequence builds a strong foundation for algebra and higher mathematics. Once you understand these formulas, solving sequence problems becomes faster, simpler, and more accurate.<\/span><\/p><p><span style=\"font-weight: 400;\">You can opt for our <a href=\"https:\/\/moonpreneur.com\/innovator-program\/advanced-math\/\">Advanced Math<\/a> or Vedic Math+Mental Math courses. Our <a href=\"https:\/\/mp.moonpreneur.com\/math-quiz-for-kids\/\">Math Quiz<\/a> for grades 3rd, 4th, 5th, and 6th helps in further exciting and engaging in mathematics with hands-on lessons.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-55dc29d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"55dc29d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-99d5f3b\" data-id=\"99d5f3b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-55b312e elementor-widget elementor-widget-text-editor\" data-id=\"55b312e\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h4><strong>FAQS<\/strong><\/h4>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-945d4ec elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"945d4ec\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2c312b4\" data-id=\"2c312b4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-595dd56 elementor-widget elementor-widget-toggle\" data-id=\"595dd56\" data-element_type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9371\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-9371\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">1. What is the formula for the arithmetic sequence?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9371\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-9371\"><p><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">Ans. a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">n<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><span class=\"mord mathnormal\">d<\/span><\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9372\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-9372\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">2. What type of sequence is 3,6,9,12,15?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9372\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-9372\"><p><span style=\"font-weight: 400;\">Ans. <span data-subtree=\"aimfl,mfl\">The sequence 3,6,9,12,15 is an arithmetic sequence.<\/span><\/span><\/p><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\"3\" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\",\\hphantom{}\" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\" \" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\"6\" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\",\\hphantom{}\" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\" \" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\"9\" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\",\\hphantom{}\" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\" \" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\"12\" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\",\\hphantom{}\" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\" \" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\"15\" \/><\/div><p><span style=\"font-weight: 400;\"><span data-subtree=\"aimfl,mfl\">\u00a0is an\u00a0<mark class=\"HxTRcb\" data-sfc-root=\"c\" data-wiz-uids=\"CvDhtf_9\" data-sfc-cb=\"\" data-ved=\"2ahUKEwi1zZ6bjtyUAxVvTmwGHSjnABcQuJAPeggIAAgBCAEQBA\"><strong class=\"Yjhzub\" data-sfc-root=\"c\" data-sfc-cb=\"\">arithmetic sequence<\/strong><\/mark>\u00a0(also known as an arithmetic progression)<\/span><\/span><\/p><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\"3\" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\",\\hphantom{}\" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\" \" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\"6\" \/><\/div><div>\u00a0<\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\" \" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\"12\" \/><\/div><div><span style=\"font-weight: 400;\">\u00a0is an <mark class=\"HxTRcb\" data-sfc-root=\"c\" data-wiz-uids=\"CvDhtf_9\" data-sfc-cb=\"\" data-ved=\"2ahUKEwi1zZ6bjtyUAxVvTmwGHSjnABcQuJAPeggIAAgBCAEQBA\"><strong class=\"Yjhzub\" data-sfc-root=\"c\" data-sfc-cb=\"\">arithmetic sequence<\/strong><\/mark>\u00a0(also known as an arithmetic progression)<\/span><\/div><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9373\" class=\"elementor-tab-title\" data-tab=\"3\" role=\"button\" aria-controls=\"elementor-tab-content-9373\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">3. What is the nth term of 2 4 6 8 10?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9373\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"region\" aria-labelledby=\"elementor-tab-title-9373\"><p>Ans. The nth term of 2 4 6 8 10 is <span class=\"mord\">2<\/span><span class=\"mord mathnormal\">n.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9374\" class=\"elementor-tab-title\" data-tab=\"4\" role=\"button\" aria-controls=\"elementor-tab-content-9374\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">4. Is 3 6 9 12 arithmetic or geometric?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9374\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"region\" aria-labelledby=\"elementor-tab-title-9374\"><p><span style=\"font-weight: 400;\">Ans. This is an\u00a0<b>arithmetic sequence<\/b>\u00a0because each term increases by a constant difference.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9375\" class=\"elementor-tab-title\" data-tab=\"5\" role=\"button\" aria-controls=\"elementor-tab-content-9375\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">5. Which term of the arithmetic sequence 3 8 13 is 73?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9375\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"5\" role=\"region\" aria-labelledby=\"elementor-tab-title-9375\"><p><span style=\"font-weight: 400;\">Ans. 73 is the\u00a0<b>15th term<\/b>\u00a0of the given progression.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9376\" class=\"elementor-tab-title\" data-tab=\"6\" role=\"button\" aria-controls=\"elementor-tab-content-9376\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">6. What is 2\u03c0 equal to? <\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9376\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"6\" role=\"region\" aria-labelledby=\"elementor-tab-title-9376\"><p>Ans.<\/p><p><span style=\"font-weight: 400;\">Ans. Approximately <\/span><span style=\"font-weight: 400;\">2\u03c0 is equal to <\/span><span style=\"font-weight: 400;\">6.28<\/span><\/p><p><span style=\"font-weight: 400;\">2\u03c0 means 2\u00d7 \u03c0 (pi)<\/span><\/p><p><span style=\"font-weight: 400;\">Since \u00d7 \u03c0 \u2248 3.14:<\/span><\/p><p><span style=\"font-weight: 400;\">2\u03c0 =2\u00d73.14 =6.28<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9377\" class=\"elementor-tab-title\" data-tab=\"7\" role=\"button\" aria-controls=\"elementor-tab-content-9377\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">7. What are the 7 parts of a circle? <\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9377\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"7\" role=\"region\" aria-labelledby=\"elementor-tab-title-9377\"><p><span style=\"font-weight: 400;\">Ans. The most common and basic parts of a circle are the Center, Radius, diameter, circumference, chord, Arc and Tangent.\u00a0<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9378\" class=\"elementor-tab-title\" data-tab=\"8\" role=\"button\" aria-controls=\"elementor-tab-content-9378\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">8. What is a semicircle? <\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9378\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"8\" role=\"region\" aria-labelledby=\"elementor-tab-title-9378\"><p><span style=\"font-weight: 400;\">Ans. A semicircle is half a circle. When you divide a circle into two equal parts along its diameter, the two parts are called semicircles.<\/span><\/p><p><span style=\"font-weight: 400;\">Key features:<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">It is made by cutting a circle through its diameter<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">It has:<\/span><\/li><\/ol><p><span style=\"font-weight: 400;\">-One curved side (half of a circle)<\/span><\/p><p><span style=\"font-weight: 400;\">-One line straight (the diameter). Simple example:<\/span><\/p><p><span style=\"font-weight: 400;\">Imagine:<\/span><\/p><p><span style=\"font-weight: 400;\">\ud83c\udf55 Pizza (half)\u00a0 and\ud83c\udf19 Moon (half) are real instances of a semicircle!<\/span><\/p><p><span style=\"font-weight: 400;\">Important Formulas<\/span><\/p><p><span style=\"font-weight: 400;\">Area of a semicircle = half of the area of a circle. Area = 21\u200b\u03c0r2\u00a0<\/span><\/p><p><span style=\"font-weight: 400;\">A semicircle is just half of a circle, but it still has all the same rules and formulas; just remember to divide by 2!\u00a0<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Arithmetic Sequence Formula Arithmetic Sequence Formula Move the slider to find the nth term of an arithmetic sequence. n = 5 a\u2099 = 21 Formula a\u2099 = a\u2081 + (n \u2212 1)d First Term (a\u2081) 1 Common Difference (d) 5 Term Number (n) 5 Result (a\u2099) 21 The arithmetic sequence formula is an essential tool […]<\/p>\n","protected":false},"author":116,"featured_media":38614,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[979],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/38611"}],"collection":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/users\/116"}],"replies":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/comments?post=38611"}],"version-history":[{"count":11,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/38611\/revisions"}],"predecessor-version":[{"id":38627,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/38611\/revisions\/38627"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media\/38614"}],"wp:attachment":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media?parent=38611"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/categories?post=38611"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/tags?post=38611"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}

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\n\t\t\t\r\n\r\n\r\n\r\nArithmetic Sequence Formula<\/title>\r\n\r\n<style>\r\n.math-card{\r\n max-width:500px;\r\n margin:auto;\r\n background:#fff;\r\n padding:20px;\r\n border-radius:18px;\r\n box-shadow:0 10px 25px rgba(0,0,0,0.08);\r\n font-family:Arial,sans-serif;\r\n}\r\n\r\n.slider{\r\n width:100%;\r\n margin-bottom:20px;\r\n}\r\n\r\n.sequence-box{\r\n display:flex;\r\n justify-content:center;\r\n margin-bottom:20px;\r\n}\r\n\r\n.sequence-circle{\r\n width:200px;\r\n height:200px;\r\n border:5px solid #2563eb;\r\n border-radius:50%;\r\n position:relative;\r\n background:rgba(37,99,235,0.08);\r\n}\r\n\r\n.step-line{\r\n width:80px;\r\n height:4px;\r\n background:#10b981;\r\n position:absolute;\r\n top:50%;\r\n left:50%;\r\n transform-origin:left center;\r\n animation:spin 5s linear infinite;\r\n}\r\n\r\n.center-dot{\r\n width:14px;\r\n height:14px;\r\n background:red;\r\n border-radius:50%;\r\n position:absolute;\r\n top:50%;\r\n left:50%;\r\n transform:translate(-50%,-50%);\r\n}\r\n\r\n.term-text{\r\n position:absolute;\r\n top:35%;\r\n left:55%;\r\n color:#10b981;\r\n font-weight:bold;\r\n}\r\n\r\n.result-text{\r\n position:absolute;\r\n bottom:-30px;\r\n left:25px;\r\n color:#7c3aed;\r\n font-weight:bold;\r\n}\r\n\r\ntable{\r\n width:100%;\r\n border-collapse:collapse;\r\n}\r\n\r\ntable th,\r\ntable td{\r\n border:1px solid #ddd;\r\n padding:12px;\r\n}\r\n\r\ntable th{\r\n background:#f3f4f6;\r\n}\r\n\r\n@keyframes spin{\r\n from{transform:rotate(0deg);}\r\n to{transform:rotate(360deg);}\r\n}\r\n<\/style>\r\n\r\n<\/head>\r\n\r\n<body>\r\n\r\n<div class=\"math-card\">\r\n\r\n <h2>Arithmetic Sequence Formula<\/h2>\r\n\r\n <p>Move the slider to find the nth term of an arithmetic sequence.<\/p>\r\n\r\n <input type=\"range\" min=\"1\" max=\"20\" value=\"5\" class=\"slider\" id=\"termSlider\"\/>\r\n\r\n <div class=\"sequence-box\">\r\n <div class=\"sequence-circle\">\r\n\r\n <div class=\"step-line\"><\/div>\r\n <div class=\"center-dot\"><\/div>\r\n\r\n <div class=\"term-text\">\r\n n = <span id=\"nVal\">5<\/span>\r\n <\/div>\r\n\r\n <div class=\"result-text\">\r\n a\u2099 = <span id=\"anVal\">21<\/span>\r\n <\/div>\r\n\r\n <\/div>\r\n <\/div>\r\n\r\n <table>\r\n <tr>\r\n <th>Formula<\/th>\r\n <td>a\u2099 = a\u2081 + (n \u2212 1)d<\/td>\r\n <\/tr>\r\n\r\n <tr>\r\n <th>First Term (a\u2081)<\/th>\r\n <td>1<\/td>\r\n <\/tr>\r\n\r\n <tr>\r\n <th>Common Difference (d)<\/th>\r\n <td>5<\/td>\r\n <\/tr>\r\n\r\n <tr>\r\n <th>Term Number (n)<\/th>\r\n <td><span id=\"tableN\">5<\/span><\/td>\r\n <\/tr>\r\n\r\n <tr>\r\n <th>Result (a\u2099)<\/th>\r\n <td><span id=\"tableAn\">21<\/span><\/td>\r\n <\/tr>\r\n <\/table>\r\n\r\n<\/div>\r\n\r\n<script>\r\nconst slider = document.getElementById(\"termSlider\");\r\n\r\nslider.oninput = function(){\r\n\r\n let n = this.value;\r\n let a1 = 1;\r\n let d = 5;\r\n\r\n let an = a1 + (n - 1) * d;\r\n\r\n document.getElementById(\"nVal\").innerHTML = n;\r\n document.getElementById(\"anVal\").innerHTML = an;\r\n\r\n document.getElementById(\"tableN\").innerHTML = n;\r\n document.getElementById(\"tableAn\").innerHTML = an;\r\n};\r\n<\/script>\r\n\r\n<\/body>\r\n<\/html>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-58f24f4 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"58f24f4\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7f4c3f7\" data-id=\"7f4c3f7\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1ac7800 elementor-widget elementor-widget-text-editor\" data-id=\"1ac7800\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p>The arithmetic sequence formula is an essential tool used to calculate both the nth term and the sum of the sequence, where the difference between consecutive terms remains constant. In simple terms, an arithmetic sequence follows a fixed pattern, which makes calculations easier and faster.<\/p><p>Moreover, whenever you need to find a specific term or the total sum of terms, the formula for an arithmetic sequence becomes extremely useful. So let’s dive in to this concept step by step with easy explanations and practical examples.<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-c16bc67 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c16bc67\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a9708ea\" data-id=\"a9708ea\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3ec181a elementor-widget elementor-widget-text-editor\" data-id=\"3ec181a\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>What is an Arithmetic Sequence?<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-b379ebd elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b379ebd\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ff2c9e2\" data-id=\"ff2c9e2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8f5f930 elementor-widget elementor-widget-text-editor\" data-id=\"8f5f930\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p>An arithmetic sequence is written in the form:<\/p><p>a, a + d, a + 2d, a + 3d, \u2026 up to n terms<\/p><p>Here:<\/p><p>1 a(a (or a\u2081) =First term<\/p><p>d = common difference<\/p><p>n = number of terms<\/p><p>In addition, the common difference remains constant throughout the sequence. Therefore, identifying the first term and the difference is the first step in using the arithmetic sequence formula.<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-4a0d764 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4a0d764\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d4ba10f\" data-id=\"d4ba10f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8f6d484 elementor-widget elementor-widget-text-editor\" data-id=\"8f6d484\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>Arithmetic Sequence Formula Overview<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-7826f8d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7826f8d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-8bec1dc\" data-id=\"8bec1dc\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f6f8eb6 elementor-widget elementor-widget-text-editor\" data-id=\"f6f8eb6\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">There are different formulas associated with arithmetic sequences. Each formula helps in solving a specific type of problem.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-e97b1eb elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e97b1eb\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-64da640\" data-id=\"64da640\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e5eaa05 elementor-widget elementor-widget-html\" data-id=\"e5eaa05\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<!DOCTYPE html>\r\n<html lang=\"en\">\r\n<head>\r\n<meta charset=\"UTF-8\"\/>\r\n<title>Arithmetic Sequence Formulas<\/title>\r\n\r\n<style>\r\n body{\r\n font-family: Arial, sans-serif;\r\n background:#f2f2f2;\r\n margin:20px;\r\n }\r\n\r\n .table-container{\r\n max-width: 1000px;\r\n margin:auto;\r\n background:#ffffff;\r\n border-radius:10px;\r\n overflow:hidden;\r\n box-shadow:0 4px 10px rgba(0,0,0,0.1);\r\n }\r\n\r\n h2{\r\n text-align:center;\r\n padding:15px;\r\n background:#4a90e2;\r\n color:white;\r\n margin:0;\r\n }\r\n\r\n table{\r\n width:100%;\r\n border-collapse:collapse;\r\n }\r\n\r\n th, td{\r\n border:1px solid #ddd;\r\n padding:12px;\r\n vertical-align:top;\r\n text-align:left;\r\n line-height:1.6;\r\n }\r\n\r\n th{\r\n background:#e8f0fe;\r\n }\r\n\r\n tr:nth-child(even){\r\n background:#fafafa;\r\n }\r\n\r\n .formula{\r\n font-weight:bold;\r\n color:#2c3e50;\r\n }\r\n<\/style>\r\n\r\n<\/head>\r\n\r\n<body>\r\n\r\n<div class=\"table-container\">\r\n <h2>Arithmetic Sequence Formulas<\/h2>\r\n\r\n <table>\r\n <tr>\r\n <th>Topic<\/th>\r\n <th>Explanation<\/th>\r\n <th>Formula<\/th>\r\n <th>Key Points<\/th>\r\n <\/tr>\r\n\r\n <tr>\r\n <td>Explicit Formula for Arithmetic Sequence<\/td>\r\n <td>The explicit formula for an arithmetic sequence helps find any term directly:\r\n<\/td>\r\n <td class=\"formula\">a\u2099 = a\u2081 + (n \u2212 1)d<\/td>\r\n <td>\r\n a\u2099 = nth term <br \/>\r\n a\u2081 = first term <br \/>\r\n d = common difference <br \/>\r\n As a result you can quickly calculate any terms without listing all previous terms.\r\n <\/td>\r\n <\/tr>\r\n\r\n <tr>\r\n <td>Recursive Formula for an Arithmetic Sequence\r\n<\/td>\r\n <td>The recursive formula defines each term based on the previous term in the sequence.<\/td>\r\n <td class=\"formula\">a\u2099 = a\u2099\u208b\u2081 + d<\/td>\r\n <td>\r\n This means each term is obtained by adding the common difference to the previous term. Therefore, this method is useful when building the sequence step by step.\r\n\r\n <\/td>\r\n <\/tr>\r\n\r\n <tr>\r\n <td>Sum of an arithmetic sequence Formula\r\n<\/td>\r\n <td>The sum of an arithmetic sequence formula is used to find the total of the first n terms.\r\n<\/td>\r\n <td class=\"formula\">\r\n Sn = (n\/2) [2a\u2081 + (n \u2212 1)d]\r\nOR\r\nSn = (n\/2) [a\u2081 + an]\r\n\r\n\r\n\r\n <\/td>\r\n <td>\r\n Where:\r\n S\u2099 = sum of n terms <br \/>\r\n a\u2081 = first term <br \/>\r\n a\u2099 = nth term <br \/>\r\n Thus, depending on the given values, you can choose the most convenient formula.\r\n\r\n <\/td>\r\n <\/tr>\r\n\r\n <tr>\r\n <td>Formula for Common Difference<\/td>\r\n <td>The formula for an arithmetic sequence also helps find the common difference:<\/td>\r\n <td class=\"formula\">d = a\u2099 \u2212 a\u2099\u208b\u2081<\/td>\r\n <td>\r\n This formula is especially helpful when the difference is not directly given.\r\n\r\n <\/td>\r\n <\/tr>\r\n\r\n <\/table>\r\n<\/div>\r\n\r\n<\/body>\r\n<\/html>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-8bbd269 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8bbd269\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-72d08c4\" data-id=\"72d08c4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1a98d92 elementor-widget elementor-widget-text-editor\" data-id=\"1a98d92\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><b>Applications of the Arithmetic Sequence Formula<\/b><\/p><p><span style=\"font-weight: 400;\">The <\/span>arithmetic sequence formula<span style=\"font-weight: 400;\"> is not just theoretical\u2014it appears in everyday life. For instance:\u00a0<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Stacking objects like cups or chairs follows a pattern<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Seating arrangements in stadiums increase regularly\u00a0<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Clock movements follow consistent intervals\u00a0<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Leap years occur every 4 years.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Birthday candles increase yearly<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">Therefore, arithmetic sequences are everywhere around us.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-684331c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"684331c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a710fd9\" data-id=\"a710fd9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-61e17c4 elementor-widget elementor-widget-text-editor\" data-id=\"61e17c4\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>Examples using Arithmetic Sequence Formula<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-a461fb8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a461fb8\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6fee17c\" data-id=\"6fee17c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8715375 elementor-widget elementor-widget-text-editor\" data-id=\"8715375\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">Let’s understand the concept better with solved examples.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-106f0f9 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"106f0f9\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-fa37b2a\" data-id=\"fa37b2a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f996401 elementor-widget elementor-widget-html\" data-id=\"f996401\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<!DOCTYPE html>\r\n<html lang=\"en\">\r\n<head>\r\n<meta charset=\"UTF-8\"\/>\r\n<title>Arithmetic Sequence Examples<\/title>\r\n\r\n<style>\r\n body{\r\n font-family: Arial, sans-serif;\r\n background:#f4f6f8;\r\n margin:20px;\r\n }\r\n\r\n .table-box{\r\n max-width: 1000px;\r\n margin:auto;\r\n background:#ffffff;\r\n border-radius:10px;\r\n overflow:hidden;\r\n box-shadow:0 4px 12px rgba(0,0,0,0.1);\r\n }\r\n\r\n h2{\r\n text-align:center;\r\n background:#6c63ff;\r\n color:white;\r\n padding:15px;\r\n margin:0;\r\n }\r\n\r\n table{\r\n width:100%;\r\n border-collapse:collapse;\r\n }\r\n\r\n th, td{\r\n border:1px solid #ddd;\r\n padding:12px;\r\n text-align:left;\r\n vertical-align:top;\r\n line-height:1.6;\r\n }\r\n\r\n th{\r\n background:#eef1ff;\r\n font-weight:bold;\r\n }\r\n\r\n tr:nth-child(even){\r\n background:#fafafa;\r\n }\r\n\r\n .formula{\r\n font-weight:bold;\r\n color:#2c3e50;\r\n }\r\n\r\n .answer{\r\n color:#0a7d3b;\r\n font-weight:bold;\r\n }\r\n<\/style>\r\n\r\n<\/head>\r\n\r\n<body>\r\n\r\n<div class=\"table-box\">\r\n <h2>Arithmetic Sequence Solved Examples<\/h2>\r\n\r\n <table>\r\n <tr>\r\n <th>Example<\/th>\r\n <th>Given<\/th>\r\n <th>Formula Used<\/th>\r\n <th>Steps<\/th>\r\n <th>Answer<\/th>\r\n <\/tr>\r\n\r\n <tr>\r\n <td><strong>Example 1: Find the 13th Term<\/strong><br \/>Sequence: 1, 5, 9, 13...<\/td>\r\n \r\n <td>\r\n First term (a\u2081) = 1 <br \/>\r\n Common difference (d) = 4 <br \/>\r\n n = 13\r\n <\/td>\r\n\r\n <td class=\"formula\">\r\n a\u2099 = a\u2081 + (n \u2212 1)d\r\n <\/td>\r\n\r\n <td>\r\n a\u2081\u2083 = 1 + (13 \u2212 1) \u00d7 4 <br \/>\r\n a\u2081\u2083 = 1 + 12 \u00d7 4 <br \/>\r\n a\u2081\u2083 = 1 + 48 <br \/>\r\n a\u2081\u2083 = 49\r\n <\/td>\r\n\r\n <td class=\"answer\">\r\n The 13th term is 49\r\n <\/td>\r\n <\/tr>\r\n\r\n <tr>\r\n <td><strong>Example 2: Find the First Term<\/strong><\/td>\r\n\r\n <td>\r\n a\u2099 = 687 <br \/>\r\n n = 35 <br \/>\r\n d = 14\r\n <\/td>\r\n\r\n <td class=\"formula\">\r\n a\u2099 = a\u2081 + (n \u2212 1)d\r\n <\/td>\r\n\r\n <td>\r\n 687 = a\u2081 + (35 \u2212 1) \u00d7 14 <br \/>\r\n 687 = a\u2081 + 34 \u00d7 14 <br \/>\r\n 687 = a\u2081 + 476 <br \/>\r\n a\u2081 = 687 \u2212 476 <br \/>\r\n a\u2081 = 211\r\n <\/td>\r\n\r\n <td class=\"answer\">\r\n The first term is 211\r\n <\/td>\r\n <\/tr>\r\n\r\n <tr>\r\n <td><strong>Example 3: Find the Sum of First 25 Terms<\/strong><br \/>Sequence: 3 + 7 + 11 + \u2026\r\n<\/td>\r\n\r\n <td>\r\n First term (a\u2081) = 3 <br \/>\r\n Common difference (d) = 4 <br \/>\r\n n = 25\r\n <\/td>\r\n\r\n <td class=\"formula\">\r\n S\u2099 = (n\/2) [2a\u2081 + (n \u2212 1)d]\r\n <\/td>\r\n\r\n <td>\r\n S\u2082\u2085 = (25\/2) [2\u00d73 + (25 \u2212 1)\u00d74] <br \/>\r\n = (25\/2) [6 + 96] <br \/>\r\n = (25\/2) \u00d7 102 <br \/>\r\n = 1275\r\n <\/td>\r\n\r\n <td class=\"answer\">\r\n The sum is 1275\r\n <\/td>\r\n <\/tr>\r\n\r\n <\/table>\r\n<\/div>\r\n\r\n<\/body>\r\n<\/html>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-10a7e3b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"10a7e3b\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-35c700d\" data-id=\"35c700d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8a68dcf elementor-widget elementor-widget-text-editor\" data-id=\"8a68dcf\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><strong><em>Read more 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Step-by-Step Guide for Kids<\/a><\/p><p class=\"elementor-post__title\"><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/use-of-cosine-formula\/\">\u2705How to Use the Cosine Formula to Find Missing Sides and Angles<\/a><\/p><p class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/use-of-cosine-formula\/\">\u2705<\/a><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/formulas-for-a3-b3\/\">Formulas for (a^3 \u2013 b^3) and (a^3 + b^3)<\/a><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-138265f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"138265f\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5085a8d\" data-id=\"5085a8d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a3425f9 elementor-widget elementor-widget-html\" data-id=\"a3425f9\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<!DOCTYPE html>\r\n<html lang=\"en\">\r\n<head>\r\n<meta charset=\"UTF-8\"\/>\r\n<title>Headline Design<\/title>\r\n\r\n<style>\r\n body {\r\n margin: 0;\r\n padding: 0;\r\n font-family: Arial, sans-serif;\r\n background: #f4f4f4;\r\n }\r\n\r\n .headline-container {\r\n display: flex;\r\n justify-content: center;\r\n align-items: center;\r\n height: 20vh;\r\n }\r\n\r\n .headline-box {\r\n background: linear-gradient(135deg, #6a11cb, #2575fc);\r\n padding: 0px 0px;\r\n border-radius: 20px;\r\n border: 4px solid #ffffff;\r\n text-align: center;\r\n color: #ffffff;\r\n max-width: 900px;\r\n width: 50%;\r\n box-shadow: 0 8px 20px rgba(0,0,0,0.2);\r\n }\r\n\r\n .headline-box h1 {\r\n margin: 0;\r\n font-size: 30px;\r\n letter-spacing: 1px;\r\n }\r\n<\/style>\r\n\r\n<\/head>\r\n<body>\r\n\r\n<div class=\"headline-container\">\r\n <div class=\"headline-box\">\r\n <h1>Final Thought:\r\n\r\n<\/h1>\r\n <\/div>\r\n<\/div>\r\n\r\n<\/body>\r\n<\/html>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-01756e8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"01756e8\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-f606cc9\" data-id=\"f606cc9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bb91020 elementor-widget elementor-widget-text-editor\" data-id=\"bb91020\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><b>In conclusion,<\/b><span style=\"font-weight: 400;\"> the arithmetic sequence formula makes it easy to work with sequences that follow a constant pattern. Whether you are using the explicit formula for an arithmetic sequence, the recursive formula for an arithmetic sequence, or the sum of arithmetic sequences formula, each method helps solve problems efficiently.<\/span><\/p><p><span style=\"font-weight: 400;\">Furthermore, mastering the formula for an arithmetic sequence builds a strong foundation for algebra and higher mathematics. Once you understand these formulas, solving sequence problems becomes faster, simpler, and more accurate.<\/span><\/p><p><span style=\"font-weight: 400;\">You can opt for our <a href=\"https:\/\/moonpreneur.com\/innovator-program\/advanced-math\/\">Advanced Math<\/a> or Vedic Math+Mental Math courses. Our <a href=\"https:\/\/mp.moonpreneur.com\/math-quiz-for-kids\/\">Math Quiz<\/a> for grades 3rd, 4th, 5th, and 6th helps in further exciting and engaging in mathematics with hands-on lessons.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-55dc29d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"55dc29d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-99d5f3b\" data-id=\"99d5f3b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-55b312e elementor-widget elementor-widget-text-editor\" data-id=\"55b312e\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h4><strong>FAQS<\/strong><\/h4>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-945d4ec elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"945d4ec\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2c312b4\" data-id=\"2c312b4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-595dd56 elementor-widget elementor-widget-toggle\" data-id=\"595dd56\" data-element_type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9371\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-9371\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">1. What is the formula for the arithmetic sequence?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9371\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-9371\"><p><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">Ans. a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">n<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><span class=\"mord mathnormal\">d<\/span><\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9372\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-9372\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">2. What type of sequence is 3,6,9,12,15?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9372\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-9372\"><p><span style=\"font-weight: 400;\">Ans. <span data-subtree=\"aimfl,mfl\">The sequence 3,6,9,12,15 is an arithmetic sequence.<\/span><\/span><\/p><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\"3\" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\",\\hphantom{}\" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\" \" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\"6\" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\",\\hphantom{}\" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\" \" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\"9\" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\",\\hphantom{}\" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\" \" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\"12\" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\",\\hphantom{}\" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\" \" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\"15\" \/><\/div><p><span style=\"font-weight: 400;\"><span data-subtree=\"aimfl,mfl\">\u00a0is an\u00a0<mark class=\"HxTRcb\" data-sfc-root=\"c\" data-wiz-uids=\"CvDhtf_9\" data-sfc-cb=\"\" data-ved=\"2ahUKEwi1zZ6bjtyUAxVvTmwGHSjnABcQuJAPeggIAAgBCAEQBA\"><strong class=\"Yjhzub\" data-sfc-root=\"c\" data-sfc-cb=\"\">arithmetic sequence<\/strong><\/mark>\u00a0(also known as an arithmetic progression)<\/span><\/span><\/p><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\"3\" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\",\\hphantom{}\" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\" \" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\"6\" \/><\/div><div>\u00a0<\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\" \" \/><\/div><div><img decoding=\"async\" role=\"presentation\" draggable=\"false\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAP\/\/\/wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==\" aria-hidden=\"true\" data-xpm-latex=\"12\" \/><\/div><div><span style=\"font-weight: 400;\">\u00a0is an <mark class=\"HxTRcb\" data-sfc-root=\"c\" data-wiz-uids=\"CvDhtf_9\" data-sfc-cb=\"\" data-ved=\"2ahUKEwi1zZ6bjtyUAxVvTmwGHSjnABcQuJAPeggIAAgBCAEQBA\"><strong class=\"Yjhzub\" data-sfc-root=\"c\" data-sfc-cb=\"\">arithmetic sequence<\/strong><\/mark>\u00a0(also known as an arithmetic progression)<\/span><\/div><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9373\" class=\"elementor-tab-title\" data-tab=\"3\" role=\"button\" aria-controls=\"elementor-tab-content-9373\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">3. What is the nth term of 2 4 6 8 10?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9373\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"region\" aria-labelledby=\"elementor-tab-title-9373\"><p>Ans. The nth term of 2 4 6 8 10 is <span class=\"mord\">2<\/span><span class=\"mord mathnormal\">n.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9374\" class=\"elementor-tab-title\" data-tab=\"4\" role=\"button\" aria-controls=\"elementor-tab-content-9374\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">4. Is 3 6 9 12 arithmetic or geometric?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9374\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"region\" aria-labelledby=\"elementor-tab-title-9374\"><p><span style=\"font-weight: 400;\">Ans. This is an\u00a0<b>arithmetic sequence<\/b>\u00a0because each term increases by a constant difference.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9375\" class=\"elementor-tab-title\" data-tab=\"5\" role=\"button\" aria-controls=\"elementor-tab-content-9375\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">5. Which term of the arithmetic sequence 3 8 13 is 73?<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9375\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"5\" role=\"region\" aria-labelledby=\"elementor-tab-title-9375\"><p><span style=\"font-weight: 400;\">Ans. 73 is the\u00a0<b>15th term<\/b>\u00a0of the given progression.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9376\" class=\"elementor-tab-title\" data-tab=\"6\" role=\"button\" aria-controls=\"elementor-tab-content-9376\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">6. What is 2\u03c0 equal to? <\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9376\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"6\" role=\"region\" aria-labelledby=\"elementor-tab-title-9376\"><p>Ans.<\/p><p><span style=\"font-weight: 400;\">Ans. Approximately <\/span><span style=\"font-weight: 400;\">2\u03c0 is equal to <\/span><span style=\"font-weight: 400;\">6.28<\/span><\/p><p><span style=\"font-weight: 400;\">2\u03c0 means 2\u00d7 \u03c0 (pi)<\/span><\/p><p><span style=\"font-weight: 400;\">Since \u00d7 \u03c0 \u2248 3.14:<\/span><\/p><p><span style=\"font-weight: 400;\">2\u03c0 =2\u00d73.14 =6.28<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9377\" class=\"elementor-tab-title\" data-tab=\"7\" role=\"button\" aria-controls=\"elementor-tab-content-9377\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">7. What are the 7 parts of a circle? <\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9377\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"7\" role=\"region\" aria-labelledby=\"elementor-tab-title-9377\"><p><span style=\"font-weight: 400;\">Ans. The most common and basic parts of a circle are the Center, Radius, diameter, circumference, chord, Arc and Tangent.\u00a0<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-9378\" class=\"elementor-tab-title\" data-tab=\"8\" role=\"button\" aria-controls=\"elementor-tab-content-9378\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">8. What is a semicircle? <\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-9378\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"8\" role=\"region\" aria-labelledby=\"elementor-tab-title-9378\"><p><span style=\"font-weight: 400;\">Ans. A semicircle is half a circle. When you divide a circle into two equal parts along its diameter, the two parts are called semicircles.<\/span><\/p><p><span style=\"font-weight: 400;\">Key features:<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">It is made by cutting a circle through its diameter<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">It has:<\/span><\/li><\/ol><p><span style=\"font-weight: 400;\">-One curved side (half of a circle)<\/span><\/p><p><span style=\"font-weight: 400;\">-One line straight (the diameter). Simple example:<\/span><\/p><p><span style=\"font-weight: 400;\">Imagine:<\/span><\/p><p><span style=\"font-weight: 400;\">\ud83c\udf55 Pizza (half)\u00a0 and\ud83c\udf19 Moon (half) are real instances of a semicircle!<\/span><\/p><p><span style=\"font-weight: 400;\">Important Formulas<\/span><\/p><p><span style=\"font-weight: 400;\">Area of a semicircle = half of the area of a circle. Area = 21\u200b\u03c0r2\u00a0<\/span><\/p><p><span style=\"font-weight: 400;\">A semicircle is just half of a circle, but it still has all the same rules and formulas; just remember to divide by 2!\u00a0<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Arithmetic Sequence Formula Arithmetic Sequence Formula Move the slider to find the nth term of an arithmetic sequence. n = 5 a\u2099 = 21 Formula a\u2099 = a\u2081 + (n \u2212 1)d First Term (a\u2081) 1 Common Difference (d) 5 Term Number (n) 5 Result (a\u2099) 21 The arithmetic sequence formula is an essential tool […]<\/p>\n","protected":false},"author":116,"featured_media":38614,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[979],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/38611"}],"collection":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/users\/116"}],"replies":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/comments?post=38611"}],"version-history":[{"count":11,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/38611\/revisions"}],"predecessor-version":[{"id":38627,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/38611\/revisions\/38627"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media\/38614"}],"wp:attachment":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media?parent=38611"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/categories?post=38611"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/tags?post=38611"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}