Question

What is the sum of the infinite geometric series?

Answer 1

Answer:

- 288

Step-by-step explanation:

The n th term of a geometric series is

$a_{n}$ = a$r^{n-1}$

- 144 $(\frac{1}{2}) ^{n-1}$ is in this form

with a = - 144 and r = $\frac{1}{2}$

$S_{infinity}$ = $\frac{a}{1-r}$ = $\frac{-144}{1-\frac{1}{2} }$ = $\frac{-144}{\frac{1}{2} }$ = - 288