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Question 1

Let $$\alpha$$ and $$\beta$$ be the roots of $$x^2 - 5x + 3 = 0$$ with $$\alpha > \beta$$. If $$a_n = \alpha^n - \beta^n$$ for $$n \ge 1$$, then the value of $$\frac{3a_6+a_8}{a_7}$$ is

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