{"id":3247,"date":"2026-06-18T16:20:25","date_gmt":"2026-06-18T16:20:25","guid":{"rendered":"https:\/\/kerimatonews.com\/?p=3247"},"modified":"2026-06-18T16:20:25","modified_gmt":"2026-06-18T16:20:25","slug":"math-challenge-complete-the-series","status":"publish","type":"post","link":"https:\/\/kerimatonews.com\/?p=3247","title":{"rendered":"Math Challenge: Complete the Series"},"content":{"rendered":"\n
\"\"<\/figure>\n\n\n\n

<\/p>\n\n\n\n

A reasonable answer is 107 (option C)<\/strong>.<\/p>\n\n\n\n

Step-by-step explanation<\/h3>\n\n\n\n

Look at the differences between consecutive numbers:<\/p>\n\n\n\n

    \n
  • 41 \u2212 37 =\u00a04<\/strong><\/li>\n\n\n\n
  • 50 \u2212 41 =\u00a09<\/strong><\/li>\n\n\n\n
  • 64 \u2212 50 =\u00a014<\/strong><\/li>\n\n\n\n
  • 83 \u2212 64 =\u00a019<\/strong><\/li>\n<\/ul>\n\n\n\n

    <\/p>\n\n\n\n

    <\/p>\n\n\n\n

    <\/p>\n\n\n\n

    <\/p>\n\n\n\n

    <\/p>\n\n\n\n

    <\/p>\n\n\n\n

    So the sequence of differences is:<\/p>\n\n\n\n

    4, 9, 14, 19<\/strong><\/p>\n\n\n\n

    Now examine these differences:<\/p>\n\n\n\n

      \n
    • 9 \u2212 4 =\u00a05<\/strong><\/li>\n\n\n\n
    • 14 \u2212 9 =\u00a05<\/strong><\/li>\n\n\n\n
    • 19 \u2212 14 =\u00a05<\/strong><\/li>\n<\/ul>\n\n\n\n

      The differences themselves increase by a constant value of 5<\/strong>.<\/p>\n\n\n\n

      Therefore, the next difference should be:<\/p>\n\n\n\n

      19 + 5 = 24<\/strong><\/p>\n\n\n\n

      Add this to the last term:<\/p>\n\n\n\n

      83 + 24 = 107<\/strong><\/p>\n\n\n\n

      Verification<\/h3>\n\n\n\n
      Term<\/th>Difference<\/th><\/tr><\/thead>
      37 \u2192 41<\/td>+4<\/td><\/tr>
      41 \u2192 50<\/td>+9<\/td><\/tr>
      50 \u2192 64<\/td>+14<\/td><\/tr>
      64 \u2192 83<\/td>+19<\/td><\/tr>
      83 \u2192 107<\/td>+24<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

      The pattern is perfectly consistent.<\/p>\n\n\n\n

      Answer<\/h3>\n\n\n\n

      107 (Option C)<\/strong><\/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, 9, 14, 19 Now examine… <\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-3247","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/kerimatonews.com\/index.php?rest_route=\/wp\/v2\/posts\/3247","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kerimatonews.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kerimatonews.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kerimatonews.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/kerimatonews.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3247"}],"version-history":[{"count":1,"href":"https:\/\/kerimatonews.com\/index.php?rest_route=\/wp\/v2\/posts\/3247\/revisions"}],"predecessor-version":[{"id":3249,"href":"https:\/\/kerimatonews.com\/index.php?rest_route=\/wp\/v2\/posts\/3247\/revisions\/3249"}],"wp:attachment":[{"href":"https:\/\/kerimatonews.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3247"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kerimatonews.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3247"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kerimatonews.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3247"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}