Answer
$\frac{200}{7}$
Work Step by Step
An infinite geometric series has a sum if and only if $|r|\lt1$, where $r$ is the common ratio. If it exists, then it equals $\frac{a_1}{1-r}$ where $a_1$ is the first term.
Here $r=0.3,a_1=20$
$|0.3|\lt1$, thus the sum exists
Hence the sum: $\dfrac{20}{1-0.3}=\frac{200}{7}$
