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Q.

The GM of the series 1,2,4,8,16,…,2n is

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a

2n+1/2

b

2n+1

c

2n/2

d

2n

answer is C.

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Detailed Solution

Let G be the GM of 1,2,4,8,16,…,2n Then.G=1×2×4×8×…×2n1n+1=1×2×22×23×…×2n1n+1⇒G=21+2+3+…+n1n+1=2n(n+1)21n+1=2n/2
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The GM of the series 1,2,4,8,16,…,2n is