{"id":21167,"date":"2019-05-15T15:52:27","date_gmt":"2019-05-15T10:22:27","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21167"},"modified":"2022-11-17T15:36:14","modified_gmt":"2022-11-17T10:06:14","slug":"after-the-first-two-terms-in-a-sequence-of-numbers-each-term-in-the-sequence-is-formed-by-adding-all-of-the-preceding-terms-og-2020-question-326-with-solution","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/after-the-first-two-terms-in-a-sequence-of-numbers-each-term-in-the-sequence-is-formed-by-adding-all-of-the-preceding-terms-og-2020-question-326-with-solution\/","title":{"rendered":"After the first two terms in a sequence of numbers, each term in the sequence is formed by adding all of the preceding terms. &#8211; OG 2020 Question #326 with Solution"},"content":{"rendered":"<span class=\"rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\">2<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span><h2>\u00a0<\/h2>\n<h2>OG 2020: Question No. 326<\/h2>\n<p>After the first two terms in a sequence of numbers, each term in the sequence is formed by adding all of the preceding terms. Is 12 the fifth term in the sequence?<\/p>\n<ol>\n<li>The sum of the first 3 terms in the sequence is 6.<\/li>\n<li>The fourth term in the sequence is 6.<\/li>\n<\/ol>\n<p>[\/two_third]<\/p>\n<div class='one_third et_column_last'>\n\t\t\t\t\t<table>\n<tbody>\n<tr>\n<td width=\"301\">Source<\/td>\n<td width=\"301\">OG 2020<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Type<\/td>\n<td width=\"301\">Data Sufficiency<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Topic<\/td>\n<td width=\"301\">Algebra<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Sub-Topic<\/td>\n<td width=\"301\">Sequences<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Difficulty<\/td>\n<td width=\"301\">Easy &#8211; Medium<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\t\t\t\t<\/div><div class='clear'><\/div>\n<h3>Solution<\/h3>\n<h4><strong><u>Steps 1 &amp; 2: Understand Question and Draw Inferences<\/u><\/strong><\/h4>\n<p>In this question, we are given<\/p>\n<ul>\n<li>In a sequence, after the first two terms, each term is formed by adding all of the preceding terms.<\/li>\n<\/ul>\n<p>We need to determine<\/p>\n<ul>\n<li>Whether the fifth term is 12 or not.<\/li>\n<\/ul>\n<p>If we assume the first term as \u2018a\u2019 and second term as \u2018b\u2019, then we can say<\/p>\n<ul>\n<li>Third term = a + b<\/li>\n<li>Fourth term = a + b + (a + b) = 2(a + b)<\/li>\n<li>Fifth term = a + b + (a + b) + 2(a + b) = 4(a + b)<\/li>\n<\/ul>\n<p>Therefore, if 4(a + b) = 12, it means a + b = 3<\/p>\n<p>Hence, to determine whether fifth term is 12 or not, we need to know whether a + b is 3 or not.<\/p>\n<p>With this understanding, let us now analyse the individual statements.<\/p>\n<p>\u00a0<\/p>\n<h4><strong><u>Step 3: Analyse Statement 1<\/u><\/strong><\/h4>\n<p>As per the information given in statement 1, the sum of the first 3 terms in the sequence is 6.<\/p>\n<ul>\n<li>Therefore, a + b + (a + b) = 6<\/li>\n<\/ul>\n<p>Or, 2(a + b) = 6<\/p>\n<p>Or, a + b = 3<\/p>\n<p>As a + b = 3, we can say fifth term is 12.<\/p>\n<p>Hence, statement 1 is sufficient to answer the question.<\/p>\n<p>\u00a0<\/p>\n<h4><strong><u>Step 4: Analyse Statement 2<\/u><\/strong><\/h4>\n<p>As per the information given in statement 2, the fourth term in the sequence is 6.<\/p>\n<ul>\n<li>Therefore, 2(a + b) = 6<\/li>\n<\/ul>\n<p>Or, a + b = 3<\/p>\n<p>As a + b = 3, we can say fifth term is 12.<\/p>\n<p>Hence, statement 2 is sufficient to answer the question.<\/p>\n<p>\u00a0<\/p>\n<h4><strong><u>Step 5: Combine Both Statements Together (If Needed)<\/u><\/strong><\/h4>\n<p>Since we could determine the answer from either of the statements individually, this step is not required.<\/p>\n<p>Hence, the correct answer is option D.<\/p>\n\n\n<p><strong>Did you know a 700+ GMAT Score can increase your chances to get into your dream business school? We can help you achieve that. Why don\u2019t you<a href=\"https:\/\/e-gmat.com\/ft-gmat\/?channel=blogsin_article&amp;utm_source=blogs&amp;utm_medium=in_article&amp;utm_campaign=free_trial&amp;utm_term=blogs_in_article_lekhika\" target=\"_blank\" rel=\"noreferrer noopener external\" data-wpel-link=\"external\">\u00a0try out our FREE Trial?<\/a>\u00a0We are the\u00a0<a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" target=\"_blank\" rel=\"noreferrer noopener external\" data-wpel-link=\"external\">most-reviewed online GMAT Preparation company in GMATClub<\/a>\u00a0with more than 1950 reviews.<\/strong><a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noreferrer noopener external\" data-wpel-link=\"external\"><\/a><\/p>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-e6ecdf9b-25a9-4eba-979b-851bb3d18760\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium ub-button-flex-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-block-btn\">Sign up for a Free Trial<\/span>\n    <\/div><\/a><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>\u00a0 OG 2020: Question No. 326 After the first two terms in a sequence of numbers, each term in the sequence is formed by adding all of the preceding terms. Is 12 the fifth term in the sequence? The sum of the first 3 terms in the sequence is 6. The fourth term in the [&hellip;]<\/p>\n","protected":false},"author":79663,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","ub_ctt_via":""},"categories":[103,44,94,60,100],"tags":[],"featured_image_src":null,"author_info":{"display_name":"Juhi Gupta","author_link":"https:\/\/e-gmat.com\/blogs\/author\/juhie-gmat-com\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.1.1 (Yoast SEO v17.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>After the first two terms in a sequence of numbers, each term in the sequence is formed by adding all of the preceding terms. - OG 2020 Question #326 with Solution<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/e-gmat.com\/blogs\/after-the-first-two-terms-in-a-sequence-of-numbers-each-term-in-the-sequence-is-formed-by-adding-all-of-the-preceding-terms-og-2020-question-326-with-solution\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"After the first two terms in a sequence of numbers, each term in the sequence is formed by adding all of the preceding terms. - OG 2020 Question #326 with Solution\" \/>\n<meta property=\"og:description\" content=\"\u00a0 OG 2020: Question No. 326 After the first two terms in a sequence of numbers, each term in the sequence is formed by adding all of the preceding terms. 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