Answer
General term of the sequence is $\frac{4}{{{3}^{n}}}$.
Work Step by Step
The numerator in the sequence is the same for all terms, which is 4, and the denominator is the pattern as a power of 3.
$\frac{4}{3},\frac{4}{9},\frac{4}{27},\ldots =\frac{4}{{{\left( 3 \right)}^{1}}},\frac{4}{{{\left( 3 \right)}^{2}}},\frac{4}{{{\left( 3 \right)}^{3}}},\ldots $
Thus, the general term of the sequence $\frac{4}{3},\frac{4}{9},\frac{4}{27},......$ is$\frac{4}{{{3}^{n}}}$.
