If α,β are roots of the quadratic equation 375x2−25x−2=0 and Sn= – InterviewSolution

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

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