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If p is a fixed positive integer, prove ...

If p is a fixed positive integer, prove by induction that `p^(n +1) + (p + 1)^(2n - 1)` is divisible by `P^2+ p +1` for all `n in N`.

A

P

B

`P^(2) + P`

C

`P^(2) + P+ 1`

D

`P^(2)-1`

Text Solution

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The correct Answer is:
C
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