Consider a real valued function f(x) sat...

Consider a real valued function `f(x)` satisfying `2f(xy)=(f(x))^(y)+(f(y))^(x) AA x , y in R` and `f(1)=a` where `a != 1` then `(a-1) sum_(i=1)^(n) f(i)=`

A

`a^(n+1)+a`

B

`a^(n+1)`

C

`a^(n+1)-a`

D

`a^(n+2)-a`

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The correct Answer is:

C

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