Answer
$$5050$$
Work Step by Step
Given $$\sum_{k=1}^{100}k$$
Since
$$\sum_{k=1}^{n}k=\frac{n(n+1)}{2}$$
Then
\begin{align*}
\sum_{k=1}^{100}k&=\frac{100(101)}{2}\\
&=50(101)\\
&=5050
\end{align*}
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