Answer
$a_6=6,250$
Work Step by Step
The geometric sequence $2,10,50,...$ has $a_1=2$ and $r=5$. Using $a_n=a_1r^{n-1}$, then the sixth term is
\begin{array}{l}
a_6=2(5)^{6-1}
\\
a_6=2(3125)
\\
a_6=6,250
.\end{array}
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