{"id":21244,"date":"2026-05-25T22:27:01","date_gmt":"2026-05-25T16:27:01","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/find-a-term-of-an-arithmetic-sequence-4\/"},"modified":"2026-05-25T22:27:01","modified_gmt":"2026-05-25T16:27:01","slug":"find-a-term-of-an-arithmetic-sequence-4","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/find-a-term-of-an-arithmetic-sequence-4\/","title":{"rendered":"Find a term of an arithmetic sequence"},"content":{"rendered":"<p>The sequence is 13, 10, 7, 4, &#8230; . What is the 15th term?<\/p>\n<ul class=\"quiz-options\">\n<li>-32<\/li>\n<li>-29<\/li>\n<li>192<\/li>\n<li>-41<\/li>\n<li>-45<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2905,2567],"subject":[2750],"education_level":[1894],"class_list":["post-21244","mcq","type-mcq","status-publish","hentry","topic-arithmetic-progressions","topic-sequences","subject-advanced-mathematics","education_level-grade-8"],"mcq_note":"This is an arithmetic sequence with common difference -3. The nth term is first term + (n \u2212 1) \u00d7 difference = 13 + (15 \u2212 1) \u00d7 -3 = -29. An arithmetic sequence changes by the same amount each step. Use a\u2099 = a\u2081 + (n \u2212 1)d, where a\u2081 is the first term, d is the common difference, and n is the term number. Do not multiply the common difference by n directly; there are only n \u2212 1 jumps from the first term to the nth term. The correct answer is -29, which matches the calculation or reasoning shown.","mcq_options":[{"right":"no","answer":"-32"},{"right":"yes","answer":"-29"},{"right":"no","answer":"192"},{"right":"no","answer":"-41"},{"right":"no","answer":"-45"}],"multi_answers":"no","subject_terms":[{"id":2750,"title":"Advanced Mathematics","slug":"advanced-mathematics"}],"topic_terms":[{"id":2905,"title":"Arithmetic Progressions","slug":"arithmetic-progressions"},{"id":2567,"title":"Sequences","slug":"sequences"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/21244","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=21244"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=21244"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=21244"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=21244"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=21244"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}