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

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1. 

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

[A]. 8
[B]. 9
[C]. 10
[D]. 11
[E]. 7

Answer: Option A

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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