Respuesta :
Answer: D.) 32/5
Step-by-step explanation:
As this geometric series is an infinte series , The Sum of this series can be determined with the help of the formula written below.
[tex]S_{∞} = \frac{a}{1-r}[/tex]
where,
S = Sum of the geometric series
a = First term of the geometric series = 8
r = The common ratio between the terms = [tex]\frac{-1}{4}[/tex]
Now,
By substituting the values in the above formula we get,
[tex]S_{∞} = \frac{8}{1-\frac{-1}{4} }[/tex]
= [tex]\frac{32}{5}[/tex]
