Answer
$\dfrac{5}{9}$
Work Step by Step
The general formula to find the sum of an infinite Geometric series is given as:
$ S_{n}=\dfrac{a_1}{(1-r)}$
and $ r=\dfrac{5/100}{5/10}=0.1$
Now, $ S_{n}=\dfrac{a_1}{(1-r)}=\dfrac{5/10}{1-0.1}$
Our answer is: $ S_{n}=\dfrac{5/10}{9/10}=\dfrac{5}{9}$
