Let α and β be the roots of the equation x^2 - x - 1 = 0. If p_k = (\alpha)^k + (\beta)^k, k \geq 1, then which one of the following statements is not true ? [7 Jan 2020 Shift 2]

(p_1 + p_2 + p_3 + p_4 + p_5) = 26

Quadratic Equation and Inequalities Part 1

Section: Mathematics

Question : 41 of 100

Marks: +1, -0

Let α and β be 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 ?

[7 Jan 2020 Shift 2]

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