How many terms are there in the A.P. 6, 10, 14, 18, ...., 174 ?

Question

KnowledgeBoat · Accepted Answer

nth term of an A.P. is given by, an = a + (n - 1)d Given, ⇒ a = 6 ⇒ d = 10 - 6 = 4 ⇒ an = 174 ⇒ 174 = 6 + (n - 1)4 ⇒ 174 - 6 = (n - 1)4 ⇒ 168 = (n - 1)4 ⇒ = n - 1 ⇒ 42 = n - 1 ⇒ n = 42 + 1 ⇒ n = 43. Hence, there are 43 terms in the A.P.

Mathematics

How many terms are there in the A.P. 6, 10, 14, 18, …., 174 ?

AP

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