Question

Let p, q be integers and let $\alpha$, $\beta$ be the roots of the equation, $x^{2} +x-1=0$, where $\alpha \neq \beta$ . For n = 0, 1, 2, … , let $a_{n}$ =$p\alpha ^{2} +q\beta ^{2}$.
a₁₂ =
[A] a₁₁ - a₁₀ [B] a₁₁ + a₁₀
[C] 2a₁₁ + a₁₀ [D] a₁₁ + 2a₁₀

Answer 1

Answer:

I thought c option is correct answer.