Answer
\[320\]
Work Step by Step
For the seventh term n = 7:
\[\begin{align}
& {{a}_{7}}={{a}_{1}}{{r}^{n-1}} \\
& =5{{\left( 2 \right)}^{7-1}} \\
& =5{{\left( 2 \right)}^{6}} \\
& =320
\end{align}\]
Hence, the seventh term of the geometric sequence is\[320\].