Answer
$\dfrac{120}{17}$
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=-0.7; a_1=8$
Now, $ S_{n}=\dfrac{a_1}{(1-r)}=\dfrac{8}{1-(-0.7)}$
Our answer is: $ S_{n}=\dfrac{12}{1.7}=\dfrac{120}{17}$