Answer:
D
Step-by-step explanation:
the sum to 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 = - 4 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{24}{-4}[/tex] = - 6 , then
S₈ = [tex]\frac{-4((-6)^{8}-1) }{-6-1}[/tex]
= [tex]\frac{-4(1679616-1)}{-6-1}[/tex]
= [tex]\frac{-4(1679615)}{-7}[/tex]
= [tex]\frac{-6718460}{-7}[/tex]
= 959,780
