Respuesta :

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]