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Let `alpha and beta` are the roots of `x^2 – x – 1 = 0` such that `P_k = alpha^k + beta^k , k ge 1` then which one is incorrect?

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Let `alpha and beta` are the roots of `x^2 – x – 1 = 0` such that `P_k = alpha^k + beta^k , k ge 1` then which one is incorrect?
A. `(p_(1)+p_(2)+p_(3)+p_(4)+p_(5))=26`
B. `p_(3)=p_(5)-p_(4)`
C. `p_(5)=11`
D. `p_(5)=p_(2).P_(3)`
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1 Answer

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Correct Answer - `D`
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