Hi , how can we find the following sum for a series: $\displaystyle \sum_{n=1}^{\infty} n^{p}/q^{n}$ for given p and q ? .E.g if p = 0 and q = 3 the series becomes 1/3 + 1/9 + 1/27 + ... = 1/2 . So required value is 1/2

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- Oct 6th 2012, 09:39 PMpranayfinding the sum of inifinite series
Hi , how can we find the following sum for a series: $\displaystyle \sum_{n=1}^{\infty} n^{p}/q^{n}$ for given p and q ? .E.g if p = 0 and q = 3 the series becomes 1/3 + 1/9 + 1/27 + ... = 1/2 . So required value is 1/2

Thanks. - Oct 6th 2012, 09:42 PMProve ItRe: finding the sum of inifinite series