{"id":170015,"date":"2024-11-19T15:45:06","date_gmt":"2024-11-19T15:45:06","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=170015"},"modified":"2024-11-19T15:45:10","modified_gmt":"2024-11-19T15:45:10","slug":"what-number-continues-the-pattern","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/19\/what-number-continues-the-pattern\/","title":{"rendered":"What number continues the pattern"},"content":{"rendered":"\n<p>6, 12, 15, 60, 65, ?<br>What number continues the pattern?<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The sequence is: 6, 12, 15, 60, 65, ?<\/p>\n\n\n\n<p>To find the number that continues the pattern, let&#8217;s analyze the sequence step-by-step:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>First, observe the changes between consecutive numbers:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>6 to 12: The difference is <strong>+6<\/strong>.<\/li>\n\n\n\n<li>12 to 15: The difference is <strong>+3<\/strong>.<\/li>\n\n\n\n<li>15 to 60: The difference is <strong>+45<\/strong>.<\/li>\n\n\n\n<li>60 to 65: The difference is <strong>+5<\/strong>.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Check for a pattern in the differences:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The differences between terms are: <strong>+6, +3, +45, +5<\/strong>. These differences themselves do not follow a simple arithmetic pattern (e.g., increasing or decreasing in a regular way). However, let\u2019s look at the pattern more carefully:<\/li>\n\n\n\n<li>The numbers <strong>6<\/strong>, <strong>3<\/strong>, <strong>45<\/strong>, and <strong>5<\/strong> seem unrelated at first, but let&#8217;s observe that the larger jump from 15 to 60 involves multiplying (15 \u00d7 4 = 60).<\/li>\n\n\n\n<li>After this multiplication, the jump to 65 seems to suggest a small increase (adding 5).<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify possible patterns:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>From 6 to 12 is +6 (simple addition).<\/li>\n\n\n\n<li>From 12 to 15 is +3 (simple addition).<\/li>\n\n\n\n<li>From 15 to 60 is +45, which is a larger jump and could be considered as multiplying 15 by 4.<\/li>\n\n\n\n<li>From 60 to 65 is +5 (a small addition). The pattern suggests that after a large multiplication (like 15 \u00d7 4), the next step involves a smaller addition.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Prediction for the next number:<\/strong><br>Given the alternating pattern of large and small steps, we predict that the next step will be a larger addition. If we continue this idea, the next number should be <strong>65 + 10 = 75<\/strong>.<\/li>\n<\/ol>\n\n\n\n<p>Thus, the next number in the sequence is <strong>75<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Summary:<\/h3>\n\n\n\n<p>The sequence involves alternating between smaller additions and a larger jump, which might be linked to a multiplication at one step. After adding 5 (from 60 to 65), the next logical step is a larger addition, so the next number is <strong>75<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>6, 12, 15, 60, 65, ?What number continues the pattern? The Correct Answer and Explanation is: The sequence is: 6, 12, 15, 60, 65, ? To find the number that continues the pattern, let&#8217;s analyze the sequence step-by-step: Thus, the next number in the sequence is 75. Summary: The sequence involves alternating between smaller additions [&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-170015","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/170015","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=170015"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/170015\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=170015"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=170015"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=170015"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}