Answer:
3rd option
Step-by-step explanation:
The sum of n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 11 and r = - 4 , then
S₈ = [tex]\frac{-11(-4)^{8}-1) }{-4-1}[/tex]
= [tex]\frac{-11(65536-1)}{-5}[/tex]
= [tex]\frac{-11(65535)}{-5}[/tex]
= [tex]\frac{-720885}{-5}[/tex]
= 144177
