Question

What is the sum of the infinite geometric series?

Answer 1

- 288

Explanation:

The n th term of a geometric series is

`a_(n)` = a
`r^(n-1)`

- 144
`((1)/(2)) ^(n-1)` is in this form

with a = - 144 and r =
`(1)/(2)`

`S_(infinity)` =
`(a)/(1-r)` =
`(-144)/(1-(1)/(2) )` =
`(-144)/((1)/(2) )` = - 288