{"id":163644,"date":"2024-11-09T04:45:18","date_gmt":"2024-11-09T04:45:18","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=163644"},"modified":"2024-11-09T04:45:20","modified_gmt":"2024-11-09T04:45:20","slug":"the-first-term-in-this-number-pattern-is-7","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/09\/the-first-term-in-this-number-pattern-is-7\/","title":{"rendered":"The first term in this number pattern is 7"},"content":{"rendered":"\n<p>The first term in this number pattern is 7.<br>7,12,10,15,13,..<br>what is the eighth term in this pattern<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To find the eighth term in the given number pattern, let\u2019s first observe the relationship between consecutive terms. The sequence provided is:<\/p>\n\n\n\n<p><strong>7, 12, 10, 15, 13, \u2026<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Look for a pattern<\/h3>\n\n\n\n<p>Let\u2019s break the sequence into two alternating sub-sequences:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>First sub-sequence (odd-positioned terms):<br>7, 10, 13, \u2026 We can see that this sequence increases by 3 each time.<br>7 \u2192 10 (add 3), 10 \u2192 13 (add 3).<br>So, the pattern for these terms is:<br><strong>7, 10, 13, \u2026<\/strong> (add 3 to each term).<\/li>\n\n\n\n<li>Second sub-sequence (even-positioned terms):<br>12, 15, \u2026 Here, the numbers increase by 3 as well.<br>12 \u2192 15 (add 3).<br>So, the pattern for these terms is:<br><strong>12, 15, \u2026<\/strong> (add 3 to each term).<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Predict the eighth term<\/h3>\n\n\n\n<p>Now that we\u2019ve identified the two sub-sequences, we can predict the eighth term.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The 1st, 3rd, 5th, and 7th terms belong to the <strong>first sub-sequence<\/strong>, which increases by 3 each time.<\/li>\n\n\n\n<li>The 2nd, 4th, 6th, and 8th terms belong to the <strong>second sub-sequence<\/strong>, which also increases by 3 each time.<\/li>\n<\/ul>\n\n\n\n<p>The <strong>6th term<\/strong> in the sequence is <strong>15<\/strong>, and the next term in this sub-sequence is the <strong>8th term<\/strong>, which will be:<br><strong>15 + 3 = 18<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The eighth term in the given sequence is <strong>18<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>This sequence alternates between two sub-sequences:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>One increases by 3 at odd positions.<\/li>\n\n\n\n<li>The other increases by 3 at even positions.<br>By identifying these sub-sequences and continuing the pattern, we arrive at the eighth term as 18.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>The first term in this number pattern is 7.7,12,10,15,13,..what is the eighth term in this pattern The Correct Answer and Explanation is : To find the eighth term in the given number pattern, let\u2019s first observe the relationship between consecutive terms. The sequence provided is: 7, 12, 10, 15, 13, \u2026 Step 1: Look for [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-163644","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163644","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=163644"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163644\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=163644"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=163644"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=163644"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}