How to write a sum in sigma notation – math.stackexchange.com

How to write a sum in sigma notation – math.stackexchange.com

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I know that the $m$ is $6$ and the $n$ is $1$ for this question, but I'm not sure how to get $a_k$. Can anyone please help me out? $$1-1+\frac{1}{2}-\frac{1}{6}+\frac{1}{24}-\frac{1}{120}$$

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