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

(A) (p₁ + p₂ + p₃ + p₄ + p₅) = 26

Complex Numbers and Quadratic Equations: JEE Main 2020 Mathematics question

JEE Main 2020 · 7 Jan, Evening shift · Q5147

JEE Main 20207 Jan, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let

\alpha

and

\beta

be the roots of the equation x² - x - 1 = 0. If p_k =

{\left( \alpha \right)^k} + {\left( \beta \right)^k}

, k

\ge

1, then which one of the following statements is not true?

JEE Main 2020 · 7 Jan, Evening shift · Q5147

JEE Main 20207 Jan, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let

\alpha

and

\beta

be the roots of the equation x² - x - 1 = 0. If p_k =

{\left( \alpha \right)^k} + {\left( \beta \right)^k}

, k

\ge

1, then which one of the following statements is not true?