{"id":17922,"date":"2026-05-02T20:09:15","date_gmt":"2026-05-02T14:09:15","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/arithmetic-progression-calculation-3\/"},"modified":"2026-05-02T20:09:15","modified_gmt":"2026-05-02T14:09:15","slug":"arithmetic-progression-calculation-3","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/arithmetic-progression-calculation-3\/","title":{"rendered":"Arithmetic Progression Calculation 3"},"content":{"rendered":"<p>In an arithmetic progression, first term a=3 and common difference d=-2. Find the 25th term.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>-48<\/li>\n<li>45<\/li>\n<li>-45<\/li>\n<li>-47<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2705,2599],"subject":[1425],"education_level":[1896],"class_list":["post-17922","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-sequences-and-series","subject-mathematics","education_level-hsc"],"mcq_note":"For an arithmetic progression, each term changes by the same common difference. To find a specific term, use the nth-term formula instead of listing every term. The nth term of an AP is a_n=a+(n-1)d. So a_25=3+(25-1)(-2)=-45. This gives the required term because we move from the first term by (n-1) equal steps.","mcq_options":[{"right":"no","answer":"-48"},{"right":"no","answer":"45"},{"right":"yes","answer":"-45"},{"right":"no","answer":"-47"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2705,"title":"Algebra","slug":"algebra"},{"id":2599,"title":"Sequences And Series","slug":"sequences-and-series"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/17922","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=17922"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17922"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17922"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17922"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17922"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}