Let α and β be two real numbers such that α+β=1 and αβ=−1. Let Pn=(α)n+(β)n,Pn−1=11 and Pn+1=29 for some integer n≥1. Then, the value of P2n is

Let α and β be two real numbers such that α+β=1 and αβ=−1. Let

1.	Let α and β be two real numbers such that α+β=1 and αβ=−1. Let Pn=(α)n+(β)n,Pn−1=11 and Pn+1=29 for some integer n≥1. Then, the value of P2n is
Answer» Let $α$ and $β$ be two real numbers such that $α + β = 1$ and $α β = - 1$ . Let $P_{n} = (α)^{n} + (β)^{n}, P_{n - 1} = 11$ and $P_{n + 1} = 29$ for some integer $n \geq 1.$ Then, the value of $P_{n}^{2}$ is

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Let α and β be two real numbers such that α+β=1 and αβ=−1. Let Pn=(α)n+(β)n,Pn−1=11 and Pn+1=29 for some integer n≥1. Then, the value of P2n is

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