Find the sum of the first nine terms of the geometric series 8, −24, 72, … −19,6893 19,691 39,368 52,488


plz explain and hurry

Respuesta :

Answer:

39,368

Step-by-step explanation:

The sum of n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex]

where a is the first term and r the common ratio

r = - 24 ÷ 8 = - 3 and a = 8, thus

[tex]S_{9}[/tex] = [tex]\frac{8[(-3)^9-1}{-3-1}[/tex] = [tex]\frac{8[-19683-1]}{-4}[/tex] = [tex]\frac{8(-19684)}{-4}[/tex] = [tex]\frac{-157472}{-4}[/tex] = 39368

Answer:

A: 39,368

Step-by-step explanation:

I took the quiz on FLVS and got it right!