{"id":92514,"date":"2025-06-01T11:27:08","date_gmt":"2025-06-01T11:27:08","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=92514"},"modified":"2025-06-01T11:27:08","modified_gmt":"2025-06-01T11:27:08","slug":"consider-the-following-sequence-5-7-10-15-22-33-46-____-____","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-sequence-5-7-10-15-22-33-46-____-____\/","title":{"rendered":"Consider the following sequence :\n5, 7, 10, 15, 22, 33, 46, ____, ____"},"content":{"rendered":"

Consider the following sequence :
\n5, 7, 10, 15, 22, 33, 46, ____, ____
\nWhich one of the alternatives will come at the end of the above sequence ?<\/p>\n

[amp_mcq option1=”61, 79″ option2=”63, 82″ option3=”65, 85″ option4=”59, 71″ correct=”option2″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CISF-AC-EXE – 2018<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe next two numbers in the sequence are 63 and 82.
\n<\/section>\n
\nLet’s find the difference between consecutive terms:
\n7 – 5 = 2
\n10 – 7 = 3
\n15 – 10 = 5
\n22 – 15 = 7
\n33 – 22 = 11
\n46 – 33 = 13
\nThe differences are 2, 3, 5, 7, 11, 13. This sequence of differences is the sequence of prime numbers in ascending order.
\nThe next prime number after 13 is 17.
\nThe term after 46 is 46 + 17 = 63.
\nThe next prime number after 17 is 19.
\nThe term after 63 is 63 + 19 = 82.
\n<\/section>\n
\nThe sequence is generated by adding successive prime numbers starting from the first prime number (2) to the previous term.
\nTerm 1: 5
\nTerm 2: 5 + 2 = 7
\nTerm 3: 7 + 3 = 10
\nTerm 4: 10 + 5 = 15
\nTerm 5: 15 + 7 = 22
\nTerm 6: 22 + 11 = 33
\nTerm 7: 33 + 13 = 46
\nTerm 8: 46 + 17 = 63
\nTerm 9: 63 + 19 = 82
\nThe sequence continues: 5, 7, 10, 15, 22, 33, 46, 63, 82.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

Consider the following sequence : 5, 7, 10, 15, 22, 33, 46, ____, ____ Which one of the alternatives will come at the end of the above sequence ? [amp_mcq option1=”61, 79″ option2=”63, 82″ option3=”65, 85″ option4=”59, 71″ correct=”option2″] This question was previously asked in UPSC CISF-AC-EXE – 2018 Download PDFAttempt Online The next two … <\/p>\n

Detailed SolutionConsider the following sequence :
\n5, 7, 10, 15, 22, 33, 46, ____, ____<\/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":[1089],"tags":[1114,1102],"class_list":["post-92514","post","type-post","status-publish","format-standard","hentry","category-upsc-cisf-ac-exe","tag-1114","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"\nConsider the following sequence : 5, 7, 10, 15, 22, 33, 46, ____, ____<\/title>\n<meta name=\"description\" content=\"The next two numbers in the sequence are 63 and 82. Let's find the difference between consecutive terms: 7 - 5 = 2 10 - 7 = 3 15 - 10 = 5 22 - 15 = 7 33 - 22 = 11 46 - 33 = 13 The differences are 2, 3, 5, 7, 11, 13. This sequence of differences is the sequence of prime numbers in ascending order. The next prime number after 13 is 17. The term after 46 is 46 + 17 = 63. The next prime number after 17 is 19. The term after 63 is 63 + 19 = 82.\" \/>\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-sequence-5-7-10-15-22-33-46-____-____\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Consider the following sequence : 5, 7, 10, 15, 22, 33, 46, ____, ____\" \/>\n<meta property=\"og:description\" content=\"The next two numbers in the sequence are 63 and 82. Let's find the difference between consecutive terms: 7 - 5 = 2 10 - 7 = 3 15 - 10 = 5 22 - 15 = 7 33 - 22 = 11 46 - 33 = 13 The differences are 2, 3, 5, 7, 11, 13. This sequence of differences is the sequence of prime numbers in ascending order. The next prime number after 13 is 17. The term after 46 is 46 + 17 = 63. The next prime number after 17 is 19. The term after 63 is 63 + 19 = 82.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-sequence-5-7-10-15-22-33-46-____-____\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T11:27:08+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 sequence : 5, 7, 10, 15, 22, 33, 46, ____, ____","description":"The next two numbers in the sequence are 63 and 82. Let's find the difference between consecutive terms: 7 - 5 = 2 10 - 7 = 3 15 - 10 = 5 22 - 15 = 7 33 - 22 = 11 46 - 33 = 13 The differences are 2, 3, 5, 7, 11, 13. This sequence of differences is the sequence of prime numbers in ascending order. The next prime number after 13 is 17. The term after 46 is 46 + 17 = 63. The next prime number after 17 is 19. The term after 63 is 63 + 19 = 82.","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-sequence-5-7-10-15-22-33-46-____-____\/","og_locale":"en_US","og_type":"article","og_title":"Consider the following sequence : 5, 7, 10, 15, 22, 33, 46, ____, ____","og_description":"The next two numbers in the sequence are 63 and 82. Let's find the difference between consecutive terms: 7 - 5 = 2 10 - 7 = 3 15 - 10 = 5 22 - 15 = 7 33 - 22 = 11 46 - 33 = 13 The differences are 2, 3, 5, 7, 11, 13. This sequence of differences is the sequence of prime numbers in ascending order. The next prime number after 13 is 17. The term after 46 is 46 + 17 = 63. The next prime number after 17 is 19. The term after 63 is 63 + 19 = 82.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-sequence-5-7-10-15-22-33-46-____-____\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T11:27:08+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-sequence-5-7-10-15-22-33-46-____-____\/","url":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-sequence-5-7-10-15-22-33-46-____-____\/","name":"Consider the following sequence : 5, 7, 10, 15, 22, 33, 46, ____, ____","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T11:27:08+00:00","dateModified":"2025-06-01T11:27:08+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The next two numbers in the sequence are 63 and 82. Let's find the difference between consecutive terms: 7 - 5 = 2 10 - 7 = 3 15 - 10 = 5 22 - 15 = 7 33 - 22 = 11 46 - 33 = 13 The differences are 2, 3, 5, 7, 11, 13. This sequence of differences is the sequence of prime numbers in ascending order. The next prime number after 13 is 17. The term after 46 is 46 + 17 = 63. The next prime number after 17 is 19. The term after 63 is 63 + 19 = 82.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-sequence-5-7-10-15-22-33-46-____-____\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-sequence-5-7-10-15-22-33-46-____-____\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-sequence-5-7-10-15-22-33-46-____-____\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CISF-AC-EXE","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-cisf-ac-exe\/"},{"@type":"ListItem","position":3,"name":"Consider the following sequence : 5, 7, 10, 15, 22, 33, 46, ____, ____"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/92514","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=92514"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/92514\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=92514"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=92514"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=92514"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}