MathematicsMedium129×since 2002Q5147Let α\alphaα and β\betaβ be the roots of the equation x² - x - 1 = 0. If p_k = (α)k+(β)k{\left( \alpha \right)^k} + {\left( \beta \right)^k}(α)k+(β)k , k ≥\ge≥ 1, then which one of the following statements is not true?A(p₁ + p₂ + p₃ + p₄ + p₅) = 26Bp₅ = 11Cp₃ = p₅ – p₄Dp₅ = p₂ · p₃Check answerSkip