How many terms are there in the G.P. 3, 6, 12, 24, ... , 384?

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Here a = 3 and r = 6 = 2. Let the number of terms be n. 3 Then, tn = 384 ⟹ arn-1 = 384 ⟹ 3 x 2n - 1 = 384 ⟹ 2n-1 = 128 = 27 ⟹ n - 1 = 7 ⟹ n = 8 ∴ Number of terms = 8.

How many terms are there in the G.P. 3, 6, 12, 24, ... , 384?

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