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Geometric mean of 7,7^(2), 7^(3) ,………....

Geometric mean of `7,7^(2), 7^(3) ,……….7^(n)` is

A

`7^((n+1)/(2))`

B

7

C

`7^(n//2)`

D

`7^(n)`

Text Solution

Verified by Experts

The correct Answer is:
A
GM ` = (7.7^(2).7^(3)………7^(n))^(1//n)`
` = (7^(1+2+3+4……….+n))^(1//n)`
`=(7^((n(n+1))/(2)))^(1//n) = 7^((n+1)/(2))`
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