Answer:
The sum is [tex]144,177[/tex]
Step-by-step explanation:
we know that
The formula of the sum in a geometric sequence is equal to
[tex]S=a1[\frac{1-r^{n}}{1-r}][/tex]
where
a1 is the first term
r is the common ratio
n is the number of terms
we have
a1=-11
r=-4
n=8
substitute the values
[tex]S=(-11)[\frac{1-(-4)^{8}}{1-(-4)}][/tex]
[tex]S=(-11)[\frac{1-(65.536)}{5}][/tex]
[tex]S=144,177[/tex]
