I honestly have no idea how to format this.
Anyways, I did this so far using the properties listed in my notes. I am pretty sure it is wrong, and if it isn't, where would I go from here?
2026-03-26 09:41:06.1774518066
Compute the following expression $\Sigma {100}{k=1} [k*(-1)^k]$.
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Hint:
We need $$\sum_{r=1}^{2n}r(-1)^r=\sum_{r=1}^n(2r)-\sum_{r=1}^n(2r-1)=\sum_{r=1}^n\{2r-(2r-1)\}=\sum_{r=1}^n1=?$$