Q.

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

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a

3n−12

b

3n−12n

c

3n+12

d

3n+12n

answer is B.

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Detailed Solution

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