Numbers-Data Intensity 3 Questions and Answers Discussion Page.

16.	How many terms are there in the G.P. 3, 6, 12, 24, ... , 384 ?
	A.	8
	B.	9
	C.	10
	D.	11

Answer: Option A

Explanation:

Here a = 3 and r = 6 = 2. Let the number of terms be n.

3

Then, t_n = 384 ==> ar^n-1 = 384

3 x 2^{n - 1} = 384

2^n-1 = 128 = 2⁷

n - 1 = 7

n = 8

Hence: Number of terms = 8.

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