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The arithmetic mean of the numbers $1, 3, 3^{2}, \dots, 3^{n - 1},$ is

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3n−12

3n−12n

3n+12

3n+12n

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detailed solution

Correct option is B

Let M be the required mean. Then,M=1+3+32+…+3n−1n⇒ M=1×3n−13−1n=3n−12n

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

The arithmetic mean of the numbers 1,3,32,…,3n−1, is

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Ready to Test Your Skills?

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The arithmetic mean of the numbers $1, 3, 3^{2}, \dots, 3^{n - 1},$ is