Question

What is the sum of an infinite geometric series if a1 = 144 and r = 1⁄4?

A.288
B. 576
C. 252
D. 192

HELP QUICK PLEASSEE

Answer 1

D

Explanation:

The sum to infinity of a geometric sequence is

sum to infinity =
`(a_(1) )/(1-r)`

here
`a_(1)` = 144 and r =
`(1)/(4)`, hence

sum =
`(144)/(1-(1)/(4) )`

=
`(144)/((3)/(4) )`

=
`(144(4))/(3)` = 192 → D