Answer:
S₈ = - 3280
Step-by-step explanation:
The sum to n terms of a geometric series is
[tex]S_{n}[/tex] = [tex]\frac{a_{}(r^{n}-1) }{r-1}[/tex]
Here a₁ = 2, r = - 3 and n = 8 , then
S₈ = [tex]\frac{2((-3)^{8}-1) }{-3-1}[/tex]
= [tex]\frac{2(6561-1)}{-4}[/tex]
= [tex]\frac{2(6560)}{-4}[/tex]
= [tex]\frac{13120}{-4}[/tex]
= - 3280
