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

If `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)=a A_(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)`

Text Solution

Verified by Experts

The correct Answer is:
C
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