Find the 8th term from end of the A.P. 7, 10, 13,....., 184.

Question

KnowledgeBoat · Accepted Answer

We know that, nth term of an A.P. is given by, an = a + (n - 1)d Given, a = 7 d = 10 - 7 = 3 ⇒ an = 184 ⇒ an = 7 + (n - 1)3 ⇒ 184 = 7 + (n - 1)3 ⇒ 184 - 7 = (n -1)3 ⇒ 177 = (n - 1)3 ⇒ = (n - 1) ⇒ (n - 1) = 59 ⇒ n = 59 + 1 ⇒ n = 60. There are 60 terms in the A.P. The 8th term from end of the A.P. is 53rd (60 - 7) term from the starting. ⇒ a53 = 7 + (53 - 1)3 = 7 + (52)3 = 7 + 156 = 163. Hence, the 8th term from end of the A.P is 163.

Mathematics

Find the 8th term from end of the A.P. 7, 10, 13,….., 184.

AP

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