# Ques. -5

**Algebra**Level 4

If \(\alpha, \beta\) are the roots of \(375x^2-25x-2=0\) and \(S_n=\alpha^n+\beta^n\), then find the value of \[\displaystyle \lim_{n \to \infty} \displaystyle \sum_{r=1}^n S_r\]

If \(\alpha, \beta\) are the roots of \(375x^2-25x-2=0\) and \(S_n=\alpha^n+\beta^n\), then find the value of \[\displaystyle \lim_{n \to \infty} \displaystyle \sum_{r=1}^n S_r\]

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