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Let alpha,beta be the roots of x^(2)-x-1...

Let `alpha,beta` be the roots of `x^(2)-x-1=0ands_(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)`

C

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

D

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

Text Solution

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The correct Answer is:
A
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