{"id":278199,"date":"2025-08-01T20:36:10","date_gmt":"2025-08-01T20:36:10","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=278199"},"modified":"2025-08-01T20:36:13","modified_gmt":"2025-08-01T20:36:13","slug":"206-202-198","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/08\/01\/206-202-198\/","title":{"rendered":"206, 202, 198, \u2026"},"content":{"rendered":"\n<p>206, 202, 198, \u2026<br>Find the 46th term.<\/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>To find the 46th term in the sequence 206, 202, 198, &#8230;, we first observe that this is an arithmetic sequence. In an arithmetic sequence, the difference between consecutive terms is constant.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Identify the first term and common difference.<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The first term (a\u2081) is 206.<\/li>\n\n\n\n<li>To find the common difference (d), subtract the second term from the first:<br>d=202\u2212206=\u22124d = 202 &#8211; 206 = -4.<br>So, the common difference is -4.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Use the formula for the nth term of an arithmetic sequence.<\/h3>\n\n\n\n<p>The formula for the nth term of an arithmetic sequence is: an=a1+(n\u22121)\u22c5da_n = a_1 + (n &#8211; 1) \\cdot d<\/p>\n\n\n\n<p>where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>ana_n is the nth term,<\/li>\n\n\n\n<li>a1a_1 is the first term,<\/li>\n\n\n\n<li>dd is the common difference,<\/li>\n\n\n\n<li>nn is the term number.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Apply the formula to find the 46th term.<\/h3>\n\n\n\n<p>Now, substitute the known values into the formula: a46=206+(46\u22121)\u22c5(\u22124)a_{46} = 206 + (46 &#8211; 1) \\cdot (-4)<\/p>\n\n\n\n<p>Simplifying the expression inside the parentheses: a46=206+45\u22c5(\u22124)a_{46} = 206 + 45 \\cdot (-4) a46=206\u2212180a_{46} = 206 &#8211; 180 a46=26a_{46} = 26<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The 46th term in the sequence is 26. This result was obtained by applying the formula for an arithmetic sequence, using the first term, common difference, and the term number.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>206, 202, 198, \u2026Find the 46th term. The correct answer and explanation is: To find the 46th term in the sequence 206, 202, 198, &#8230;, we first observe that this is an arithmetic sequence. In an arithmetic sequence, the difference between consecutive terms is constant. Step 1: Identify the first term and common difference. Step [&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-278199","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/278199","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=278199"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/278199\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=278199"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=278199"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=278199"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}