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Mathematics 19 Online
OpenStudy (hpaul24):

Find S15 for the series -1 + -3 + -5 + -7 +… -240 -225 -210 -224

OpenStudy (holsteremission):

You have \[S_n=\sum_{k=1}^n -(2k-1)\]for which you can find a closed form using the well-known Faulhaber formulas: https://en.wikipedia.org/wiki/Faulhaber%27s_formula Specifically, \[\sum_{k=1}^nk=\frac{n(n+1)}{2}\]

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