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Let p, q be integers and let alpha,beta...

Let `p, q` be integers and let `alpha,beta` be the roots of the equation `x^2-2x+3=0` where `alpha != beta` For `n= 0, 1, 2,.......,` Let `alpha_n=palpha^n+qbeta^n` value `alpha_9=`

A

`3a_(8)-5a_(7)+3a_(6)`

B

`a_(7)-6a_(6)`

C

`a_(7)-12a_(5)+18a_(4)`

D

`2a_(8)+3a_(6)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
`[a_(n+2)=2a_(n+1)-3a_(n)]`
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