Let α and β are the roots of the equation x2 − x − 1 = 0. If pk = (α)k + (β)k, k ≥ 1 then which one of the following statements is not true?

1
(p1 + p+ p3 + p4 + p5) = 26
2
p5 = 11
3
p5 = p2 ⋅ p3
4
p3 = p5 − p4

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