Let α,β be the roots of the quadratic equation 375x2−25x−2=0. If – InterviewSolution

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1.	Let α,β be the roots of the quadratic equation 375x2−25x−2=0. If Sn=αn+βn and ∞∑r=1Sr=1k, then k is equal to
Answer» Let $α, β$ be the roots of the quadratic equation $375 x^{2} - 25 x - 2 = 0.$ If $S_{n} = α^{n} + β^{n}$ and $\infty \sum r = 1 S_{r} = \frac{1}{k},$ then $k$ is equal to

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