Answer
$20$
Work Step by Step
An infinite geometric series converges if and only if $|r|\lt1$, where $r$ is the common ratio. If it converges, then it equals $\frac{a_1}{1-r}$ where $a_1$ is the first term.
The common ratio is the quotient of two consecutive terms: $r=\frac{a_2}{a_1}=\frac{0.5}{1}=0.5$.
Hence the sum (since $a_1=1$): $\dfrac{1}{1-0.95}=20$