How many terms are there in the A.P. 41, 38, 35 ,...., -1 ?

Question

KnowledgeBoat · Accepted Answer

nth term of an A.P. is given by, an = a + (n - 1)d Given, a = 41 d = 38 - 41 = -3 Let nth term be -1. ⇒ an = -1 ⇒ a + (n - 1)d = -1 ⇒ -1 = 41 + (n - 1)(-3) ⇒ - 1 - 41 = (n - 1)(-3) ⇒ -42 = (n - 1)(-3) ⇒ = n - 1 ⇒ 14 = n - 1 ⇒ n = 14 + 1 ⇒ n = 15. Hence, there are 15 terms in the A.P.

Mathematics

How many terms are there in the A.P. 41, 38, 35 ,…., -1 ?

AP

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