If alpha and beta are the roots of the e...

If `alpha and beta` are the roots of the equation `x^(2)-ax+b=0and A_(n)=alpha^(n)+beta^(n),` then which of the following is true ?

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

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

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

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

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