{"id":42784,"date":"2024-04-15T21:14:36","date_gmt":"2024-04-15T21:14:36","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=42784"},"modified":"2024-04-15T21:14:36","modified_gmt":"2024-04-15T21:14:36","slug":"find-the-missing-number-4","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/find-the-missing-number-4\/","title":{"rendered":"Find the missing number?"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;3&#8243; option2=&#8221;8&#8243; option3=&#8221;10&#8243; option4=&#8221;4&#8243; correct=&#8221;option2&#8243;]<!--more--><\/p>\n<p>The answer is $\\boxed{8}$.<\/p>\n<p>The missing number is the sum of the first three numbers in the sequence, $1$, $2$, and $3$, plus the product of the first two numbers, $1$ and $2$. This is because the sequence is generated by the formula $a_n = (n-1)a_{n-2} + (n-2)a_{n-3}$, where $a_n$ is the $n$th term in the sequence and $a_0 = 1$ and $a_1 = 2$.<\/p>\n<p>Here is a brief explanation of each option:<\/p>\n<ul>\n<li>Option A: $3$ is not the sum of the first three numbers in the sequence, $1$, $2$, and $3$.<\/li>\n<li>Option B: $8$ is the sum of the first three numbers in the sequence, $1$, $2$, and $3$, plus the product of the first two numbers, $1$ and $2$.<\/li>\n<li>Option C: $10$ is not the sum of the first three numbers in the sequence, $1$, $2$, and $3$, plus the product of the first two numbers, $1$ and $2$.<\/li>\n<li>Option D: $4$ is not the sum of the first three numbers in the sequence, $1$, $2$, and $3$, plus the product of the first two numbers, $1$ and $2$.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;3&#8243; option2=&#8221;8&#8243; option3=&#8221;10&#8243; option4=&#8221;4&#8243; correct=&#8221;option2&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[720],"tags":[],"class_list":["post-42784","post","type-post","status-publish","format-standard","hentry","category-missing-number-finding","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Find the missing number?<\/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:\/\/exam.pscnotes.com\/mcq\/find-the-missing-number-4\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Find the missing number?\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;3&#8243; 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