Answer
$a_n=5(2)^{n-1}.$
Work Step by Step
We know that $a_n=a_1r^{n-1}.$
where $r$=common ration (we can get this by dividing any two consecutive terms) and $a_1$= the first term
Here $a_1=5$ and $r=\frac{a_2}{a_1}=\dfrac{10}{5}=2$
Hence, here we have
$a_n=5(2)^{n-1}.$