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Let α and β be the roots of the equation x 2 – x – 1 = 0. If p k = ( α ) k + ( β ) k , k ≥ 1, then which one of the following statements is not true?

1. p 5 = p 2 . p 3
2. p 3 = p 5 – p 4
3. (p 1 + p 2 + p 3 + p 4 + p 5 ) = 26
4. p 5 = 11

Correct answer: p 5 = p 2 . p 3

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