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lf alpha and beta are the roots of the...

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

A

`A_(n+1)=aA_(n)+bA_(n-1)`

B

`A_(n+1)=bA_(n)+aA_(n-1)`

C

`A_(n+1)=aA_(n)+bA_(n-1)`

D

`A_(n+1)=bA_(n)-aA_(n-1)`

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