Answer
The sum of the sigma notation $\sum\limits_{k=0}^{4}{{{10}^{k}}}$ is $11,111.$
Work Step by Step
$\sum\limits_{k=0}^{4}{{{10}^{k}}}$
For the sum:
$\begin{align}
& \sum\limits_{k=0}^{4}{{{10}^{k}}}={{10}^{0}}+{{10}^{1}}+{{10}^{2}}+{{10}^{3}}+{{10}^{4}} \\
& =1+10+100+1000+10000 \\
& =11,111
\end{align}$
Thus, the sum of the sigma notation$\sum\limits_{k=0}^{4}{{{10}^{k}}}$ is
$11,111.$
