Please help
Find the sum of the given infinite geometric series

Answer:
A) [tex]33.66[/tex]
Step-by-step explanation:
The sum of an infinite geometric series in the form of [tex]\displaystyle \sum_{n=0}^\infty ar^n[/tex] is equivalent to [tex]\displaystyle S_{\infty}=\frac{a_1}{1-r}[/tex] where [tex]r[/tex] is the common ratio and [tex]a_1[/tex] is the first term.
Hence, [tex]\displaystyle S_{\infty}=\frac{a_1}{1-r}=\frac{34}{1-(-0.01)}=\frac{34}{1.01}\approx33.66[/tex]