Answer
$a_n=\dfrac{3}{10}\left(\dfrac{1}{10} \right)^n$
Work Step by Step
The sequence $
\dfrac{3}{10},\dfrac{3}{100},\dfrac{3}{1000},...
$ forms a geometric sequence. Hence, the general term of the sequence is
\begin{array}{l}
a_n=\dfrac{3}{10}\left(\dfrac{1}{10} \right)^n
.\end{array}