zekisagamer zekisagamer

01-08-2022
Mathematics

contestada

Find the sum of the geometric series given a1=−1, r=2, and n=7

A. -127
B. -116
C. 1
D. -118

Respuesta :

jimrgrant1 jimrgrant1

01-08-2022

Answer:

A

Step-by-step explanation:

the sum to n terms of a geometric series is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex] , then for n = 7

S₇ = [tex]\frac{-1(2^{7}-1) }{2-1}[/tex] = [tex]\frac{-1(128-1)}{1}[/tex] = - 1 (127) = - 127

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