If $S = \frac{7}{5} + \frac{9}{5^{2}} + \frac{13}{5^{3}} + \frac{19}{5^{4}} + .....$ , then $160S$ is equal to [JEE Main 2021, 31 Aug (Shift 2)]

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If \(S = \frac{7}{5} + \frac{9}{5^{2}} + \frac{13}{5^{3}} + \frac{19}{5^{4}} + .....\) , then \(160S\) is equal to [JEE …