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Let alpha and beta be the roots of the ...

Let ` alpha and beta` be the roots of the equation ` x^(2) -px+q =0 and V_(n) = alpha^(n) + beta^(n)` , Show that ` V_(n+1) = pV_(n) -qV_(n-1)` find ` V_(5)`

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The correct Answer is:
`(p^(2)-q) [p^(3) -3pq] - pq[p^(2) -2q]`
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