Which term of the G.P. 3, 6, 12, 24,..... is 768?

Question

KnowledgeBoat · Accepted Answer

Given, The G.P. : 3, 6, 12, 24, ..... a = 3 r = Let nth term be 768. Tn = 768 We know that, nth term of a G.P. is given by, Tn = arn - 1 ⇒ 768 = (3)(2)n - 1 ⇒ = (2)n - 1 ⇒ 256 = (2)n - 1 ⇒ 28 = (2)n - 1 ⇒ 8 = n - 1 ⇒ n = 8 + 1 ⇒ n = 9. Hence, 9th term of G.P. is 768.

Mathematics

Which term of the G.P. 3, 6, 12, 24,….. is 768?

G.P.

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