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The GM of the series $1, 2, 4, 8, 16, \dots, 2^{n}$ is

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2n+1/2

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Correct option is C

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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Variate x	1	2	3	4	5
Frequency f of x	4	5	y	1	2

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

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The GM of the series $1, 2, 4, 8, 16, \dots, 2^{n}$ is