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Find the value of n so that (a^(n+1)+ b^...

Find the value of n so that `(a^(n+1)+ b^(n+1))/(a^n+b^n)` may be the geometric mean between a and b.

A

0

B

`-1//2`

C

`1//2`

D

1

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Let A_(1),A_(2),A_(3),"......."A_(m) be arithmetic means between -3 and 828 and G_(1),G_(2),G_(3),"......."G_(n) be geometric means between 1 and 2187. Product of geometric means is 3^(35) and sum of arithmetic means is 14025. The value of n is