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

Correct Answer: 8

Explanation:

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.


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