{"id":90436,"date":"2025-06-01T10:28:34","date_gmt":"2025-06-01T10:28:34","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=90436"},"modified":"2025-06-01T10:28:34","modified_gmt":"2025-06-01T10:28:34","slug":"consider-the-following-series-1-9-17-33-49-73-identify-the","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-series-1-9-17-33-49-73-identify-the\/","title":{"rendered":"Consider the following series :\n1, 9, 17, 33, 49, 73, …\nIdentify the"},"content":{"rendered":"

Consider the following series :
\n1, 9, 17, 33, 49, 73, …
\nIdentify the missing number from the following :<\/p>\n

[amp_mcq option1=”99″ option2=”97″ option3=”95″ option4=”91″ correct=”option2″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CAPF – 2019<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe given series is 1, 9, 17, 33, 49, 73, …
\nLet’s find the difference between consecutive terms:
\n9 – 1 = 8
\n17 – 9 = 8
\n33 – 17 = 16
\n49 – 33 = 16
\n73 – 49 = 24
\nThe sequence of differences is 8, 8, 16, 16, 24. The pattern is that each difference appears twice, and the difference increases by 8 each time (8, then 8+8=16, then 16+8=24).
\nFollowing this pattern, the next difference should also be 24.
\nThe missing number is the last term plus the next difference: 73 + 24 = 97.
\n<\/section>\n
\n– Analyze the differences between consecutive terms to find the underlying pattern.
\n– The differences form a sequence of paired numbers with a constant increment.
\n<\/section>\n
\nThis is a type of second-order arithmetic progression where the differences between terms follow a pattern. Recognizing the sequence of differences (8, 8, 16, 16, 24, 24…) is key to solving the puzzle.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

Consider the following series : 1, 9, 17, 33, 49, 73, … Identify the missing number from the following : [amp_mcq option1=”99″ option2=”97″ option3=”95″ option4=”91″ correct=”option2″] This question was previously asked in UPSC CAPF – 2019 Download PDFAttempt Online The given series is 1, 9, 17, 33, 49, 73, … Let’s find the difference between … <\/p>\n

Detailed SolutionConsider the following series :
\n1, 9, 17, 33, 49, 73, …
\nIdentify the<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1085],"tags":[1119,1102],"class_list":["post-90436","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1119","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"\nConsider the following series : 1, 9, 17, 33, 49, 73, ... Identify the<\/title>\n<meta name=\"description\" content=\"The given series is 1, 9, 17, 33, 49, 73, ... Let's find the difference between consecutive terms: 9 - 1 = 8 17 - 9 = 8 33 - 17 = 16 49 - 33 = 16 73 - 49 = 24 The sequence of differences is 8, 8, 16, 16, 24. The pattern is that each difference appears twice, and the difference increases by 8 each time (8, then 8+8=16, then 16+8=24). Following this pattern, the next difference should also be 24. The missing number is the last term plus the next difference: 73 + 24 = 97. - Analyze the differences between consecutive terms to find the underlying pattern. - The differences form a sequence of paired numbers with a constant increment.\" \/>\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\/consider-the-following-series-1-9-17-33-49-73-identify-the\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Consider the following series : 1, 9, 17, 33, 49, 73, ... Identify the\" \/>\n<meta property=\"og:description\" content=\"The given series is 1, 9, 17, 33, 49, 73, ... Let's find the difference between consecutive terms: 9 - 1 = 8 17 - 9 = 8 33 - 17 = 16 49 - 33 = 16 73 - 49 = 24 The sequence of differences is 8, 8, 16, 16, 24. The pattern is that each difference appears twice, and the difference increases by 8 each time (8, then 8+8=16, then 16+8=24). Following this pattern, the next difference should also be 24. The missing number is the last term plus the next difference: 73 + 24 = 97. - Analyze the differences between consecutive terms to find the underlying pattern. - The differences form a sequence of paired numbers with a constant increment.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-series-1-9-17-33-49-73-identify-the\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T10:28:34+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Consider the following series : 1, 9, 17, 33, 49, 73, ... Identify the","description":"The given series is 1, 9, 17, 33, 49, 73, ... Let's find the difference between consecutive terms: 9 - 1 = 8 17 - 9 = 8 33 - 17 = 16 49 - 33 = 16 73 - 49 = 24 The sequence of differences is 8, 8, 16, 16, 24. The pattern is that each difference appears twice, and the difference increases by 8 each time (8, then 8+8=16, then 16+8=24). Following this pattern, the next difference should also be 24. The missing number is the last term plus the next difference: 73 + 24 = 97. - Analyze the differences between consecutive terms to find the underlying pattern. - The differences form a sequence of paired numbers with a constant increment.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-series-1-9-17-33-49-73-identify-the\/","og_locale":"en_US","og_type":"article","og_title":"Consider the following series : 1, 9, 17, 33, 49, 73, ... Identify the","og_description":"The given series is 1, 9, 17, 33, 49, 73, ... Let's find the difference between consecutive terms: 9 - 1 = 8 17 - 9 = 8 33 - 17 = 16 49 - 33 = 16 73 - 49 = 24 The sequence of differences is 8, 8, 16, 16, 24. The pattern is that each difference appears twice, and the difference increases by 8 each time (8, then 8+8=16, then 16+8=24). Following this pattern, the next difference should also be 24. The missing number is the last term plus the next difference: 73 + 24 = 97. - Analyze the differences between consecutive terms to find the underlying pattern. - The differences form a sequence of paired numbers with a constant increment.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-series-1-9-17-33-49-73-identify-the\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T10:28:34+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-series-1-9-17-33-49-73-identify-the\/","url":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-series-1-9-17-33-49-73-identify-the\/","name":"Consider the following series : 1, 9, 17, 33, 49, 73, ... 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