Let $\alpha$ and $\beta$ be the roots of x2 $-$ 6x $-$ 2 = 0. If an = $\alpha$n $-$ $\beta$n for n $ \ge $ 1, then the value of ${{{a_{10}} - 2{a_8}} \over {3{a_9}}}$ is :

Question

Let $\alpha$ and $\beta$ be the roots of x² $-$ 6x $-$ 2 = 0. If a_n = $\alpha$ⁿ $-$ $\beta$ⁿ for n $ \ge $ 1, then the value of ${{{a_{10}} - 2{a_8}} \over {3{a_9}}}$ is :

Solution

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