{"id":159583,"date":"2024-11-01T04:42:27","date_gmt":"2024-11-01T04:42:27","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=159583"},"modified":"2024-11-01T04:42:29","modified_gmt":"2024-11-01T04:42:29","slug":"x-sn-242k-12-30-if-what-is-the-value-of-limo-sn","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/01\/x-sn-242k-12-30-if-what-is-the-value-of-limo-sn\/","title":{"rendered":"X Sn= 242+k.12. 30 If what is the value of limo Sn"},"content":{"rendered":"\n<p>X Sn= 242+k.12. 30 If what is the value of limo Sn? \u0391. 24 B. 50 O C. 84 OD. 75<\/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 determine the value of the limit of ( S_n ) as ( n ) approaches infinity, we need to analyze the behavior of the expression for ( S_n = 242 + k \\cdot 12 \\cdot 30 ) as ( n ) grows large.<\/p>\n\n\n\n<p>Since we\u2019re dealing with a summation notation (suggested by ( S_n )), it\u2019s common to interpret ( S_n ) as a sequence whose terms depend on ( n ), typically through a pattern or rule for each term. However, in this case, the expression for ( S_n ) seems independent of ( n ), as it\u2019s given directly by a constant value of ( 242 + k \\cdot 12 \\cdot 30 ), which simplifies to ( 242 + 360k ) (where ( k ) is presumably an integer or constant).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Solution<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Interpretation of the Summation Notation ( S_n )<\/strong>: If the sequence ( S_n ) is independent of ( n ), the value will be constant regardless of the value of ( n ). This makes calculating ( \\lim_{n \\to \\infty} S_n ) straightforward, as the result will simply be the constant value of ( S_n ).<\/li>\n\n\n\n<li><strong>Simplification of the Expression ( S_n = 242 + 360k )<\/strong>: Given the expression, the limit ( \\lim_{n \\to \\infty} S_n ) will simply equal the simplified value of ( S_n ), as it doesn\u2019t change with ( n ).<\/li>\n\n\n\n<li><strong>Identifying the Correct Answer<\/strong>: Since ( S_n = 242 + 360k ), the value of ( \\lim_{n \\to \\infty} S_n ) is independent of ( n ) and remains fixed at the calculated constant value. We don&#8217;t have ( k )&#8217;s specific value here, so without ( k ), the answer cannot be determined directly from the given options (A. 24, B. 50, C. 84, D. 75).<\/li>\n<\/ol>\n\n\n\n<p>Without more information on ( k ), we cannot select a numerical answer among the provided options. Further details are needed to proceed correctly.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>X Sn= 242+k.12. 30 If what is the value of limo Sn? \u0391. 24 B. 50 O C. 84 OD. 75 The Correct Answer and Explanation is : To determine the value of the limit of ( S_n ) as ( n ) approaches infinity, we need to analyze the behavior of the expression 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-159583","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/159583","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=159583"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/159583\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=159583"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=159583"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=159583"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}