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If alpha, beta arethe roots of the equat...

If `alpha, beta` arethe 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)`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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