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Let alpha,beta be the roots of x^2-x-1=0...

Let `alpha,beta` be the roots of `x^2-x-1=0` and `S_n=alpha^n+beta^n`, for all integers `nge1`. Then for every integer `nge2`,

A

S_n+S_(n+1)=S_(n+1)`

B

S_n-S_(n-1)=S_(n+1)`

C

`S_(n-1)=S_(n+1)`

D

S_n+S_(n-1)=2S_(n+1)`

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The correct Answer is:
A
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