{"id":24294,"date":"2026-06-17T16:54:00","date_gmt":"2026-06-17T12:54:00","guid":{"rendered":"https:\/\/fb.tejlurer.online\/?p=24294"},"modified":"2026-06-17T16:54:02","modified_gmt":"2026-06-17T12:54:02","slug":"math-challenge-complete-the-series","status":"publish","type":"post","link":"https:\/\/fb.tejlurer.online\/?p=24294","title":{"rendered":"Math Challenge: Complete the Series"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">A reasonable answer is <strong>107 (option C)<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-step explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Look at the differences between consecutive numbers:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>41 \u2212 37 = <strong>4<\/strong><\/li>\n\n\n\n<li>50 \u2212 41 = <strong>9<\/strong><\/li>\n\n\n\n<li>64 \u2212 50 = <strong>14<\/strong><\/li>\n\n\n\n<li>83 \u2212 64 = <strong>19<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">So the sequence of differences is:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>4, 9, 14, 19<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now examine these differences:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>9 \u2212 4 = <strong>5<\/strong><\/li>\n\n\n\n<li>14 \u2212 9 = <strong>5<\/strong><\/li>\n\n\n\n<li>19 \u2212 14 = <strong>5<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The differences themselves increase by a constant value of <strong>5<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore, the next difference should be:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>19 + 5 = 24<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Add this to the last term:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>83 + 24 = 107<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Verification<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Term<\/th><th>Difference<\/th><\/tr><\/thead><tbody><tr><td>37 \u2192 41<\/td><td>+4<\/td><\/tr><tr><td>41 \u2192 50<\/td><td>+9<\/td><\/tr><tr><td>50 \u2192 64<\/td><td>+14<\/td><\/tr><tr><td>64 \u2192 83<\/td><td>+19<\/td><\/tr><tr><td>83 \u2192 107<\/td><td>+24<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">The pattern is perfectly consistent.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answer<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>107 (Option C)<\/strong> \u2705<\/p>\n","protected":false},"excerpt":{"rendered":"A reasonable answer is 107 (option C). Step-by-step explanation Look at the differences between consecutive numbers: So the sequence of differences is: 4, \n<a class=\"moretag\" href=\"https:\/\/fb.tejlurer.online\/?p=24294\"> [...]<\/a>","protected":false},"author":3,"featured_media":24295,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-24294","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-1"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Math Challenge: Complete the Series - It m\u057dst b\u0435 s\u0435\u0435n\u2026<\/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:\/\/fb.tejlurer.online\/?p=24294\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Math Challenge: Complete the Series - It m\u057dst b\u0435 s\u0435\u0435n\u2026\" \/>\n<meta property=\"og:description\" content=\"A reasonable answer is 107 (option C). 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