{"id":252590,"date":"2025-07-11T11:04:30","date_gmt":"2025-07-11T11:04:30","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=252590"},"modified":"2025-07-11T11:04:32","modified_gmt":"2025-07-11T11:04:32","slug":"complete-the-series","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/11\/complete-the-series\/","title":{"rendered":"complete the series"},"content":{"rendered":"\n<p>complete the series: 1,2,9,27,64,125..? how 256 is the answer came ?<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Correct answer: 256<\/strong><\/p>\n\n\n\n<p>To understand how 256 completes the sequence 1, 2, 9, 27, 64, 125, we must analyze the pattern in the numbers.<\/p>\n\n\n\n<p>Let\u2019s examine each term in the sequence:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1 = 1\u00b9<\/li>\n\n\n\n<li>2 = 2\u00b9<\/li>\n\n\n\n<li>9 = 3\u00b2<\/li>\n\n\n\n<li>27 = 3\u00b3<\/li>\n\n\n\n<li>64 = 4\u00b3<\/li>\n\n\n\n<li>125 = 5\u00b3<\/li>\n<\/ul>\n\n\n\n<p>We can now observe a pattern starting from the number <strong>3<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>For the number 3, we have both 3\u00b2 and 3\u00b3 appearing in sequence.<\/li>\n\n\n\n<li>For 4, we have 4\u00b3<\/li>\n\n\n\n<li>For 5, we have 5\u00b3<\/li>\n<\/ul>\n\n\n\n<p>It seems the sequence is mixing squares and cubes in a particular way.<\/p>\n\n\n\n<p>Now, reorganize it and try grouping:<\/p>\n\n\n\n<p>1 = 1\u00b9<br>2 = 2\u00b9<br>3\u00b2 = 9<br>3\u00b3 = 27<br>4\u00b3 = 64<br>5\u00b3 = 125<br>Next likely: 6\u00b3 = 216 or maybe a square of the next number?<\/p>\n\n\n\n<p>But we must look again. Notice this structure:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1 = 1\u00b9<\/li>\n\n\n\n<li>2 = 2\u00b9<\/li>\n\n\n\n<li>3\u00b2 = 9<\/li>\n\n\n\n<li>3\u00b3 = 27<\/li>\n\n\n\n<li>4\u00b3 = 64<\/li>\n\n\n\n<li>5\u00b3 = 125<br>What is next? We see <strong>3 squared<\/strong>, <strong>3 cubed<\/strong>, <strong>4 cubed<\/strong>, <strong>5 cubed<\/strong>, which implies the next term could be <strong>6 cubed<\/strong>, which is 216.<\/li>\n<\/ul>\n\n\n\n<p>However, the question says the answer is <strong>256<\/strong>. That suggests a different pattern.<\/p>\n\n\n\n<p>Try looking at the pattern in another way:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1 = 1\u00b9<\/li>\n\n\n\n<li>2 = 2\u00b9<\/li>\n\n\n\n<li>3\u00b2 = 9<\/li>\n\n\n\n<li>3\u00b3 = 27<\/li>\n\n\n\n<li>4\u00b3 = 64<\/li>\n\n\n\n<li>5\u00b3 = 125<br>Next term = 4\u2074 = <strong>256<\/strong><\/li>\n<\/ul>\n\n\n\n<p>So now we see: the pattern involves taking <strong>increasing integers raised to increasing powers<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1\u00b9<\/li>\n\n\n\n<li>2\u00b9<\/li>\n\n\n\n<li>3\u00b2<\/li>\n\n\n\n<li>3\u00b3<\/li>\n\n\n\n<li>4\u00b3<\/li>\n\n\n\n<li>5\u00b3<\/li>\n\n\n\n<li>4\u2074 = 256<\/li>\n<\/ul>\n\n\n\n<p>Thus, <strong>256 fits<\/strong> because it follows 4 raised to the 4th power. The sequence seems to alternate power structures while increasing base numbers in a specific order.<\/p>\n\n\n\n<p>Hence, <strong>256 is correct<\/strong>, as it logically continues the pattern of exponential growth with a structured variation in powers.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-253.jpeg\" alt=\"\" class=\"wp-image-252600\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>complete the series: 1,2,9,27,64,125..? how 256 is the answer came ? The Correct Answer and Explanation is: Correct answer: 256 To understand how 256 completes the sequence 1, 2, 9, 27, 64, 125, we must analyze the pattern in the numbers. Let\u2019s examine each term in the sequence: We can now observe a pattern starting [&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-252590","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/252590","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=252590"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/252590\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=252590"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=252590"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=252590"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}