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

Let `alpha` and `beta` be the roots of the equation `x^(2)-x-1=0` .If `p_(k)=(alpha)^(k)+(beta)^(k),k>=1` then which one of the following statements is not true?`

A

`(p_(1)+p_(2)+p_(3)+p_(4)+p_(5))=26`

B

`p_(5)=11`

C

`p_(5)=p_(2)*p_(3)`

D

`p_(2)=p_(5)-p_(4)`

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The correct Answer is:

C

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