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If alpha, beta are the roots of x^(2)-a ...

If `alpha, beta` are the roots of `x^(2)-a x+b=0` and `A_(n)='alpha'^(n)+beta^(n)`, then `A_(n+1)=`

A

`aA_(n)+b A_(n-1)`

B

`a A_(n)-b A_(n-1)`

C

`b A_(n-1)-a A_(n)`

D

`b A_(n)+a A_(n-1)`

Text Solution

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The correct Answer is:
A
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