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If n >1 , the value of the positive inte...

If `n >1` , the value of the positive integer `m` for which `n^m+1` divides `a=1+n+n^2+ddot+n^(63)` is/are a.`8` b. `16` c. `32` d. `64`

A

8

B

16

C

32

D

64

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
`a=(n^(64)-1)/(n-1)`
`=(n+1)(n^(2)+1)(n^(4)+1)(n^(8)+1)(n^(16)+1)(n^(32)+1)`
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