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

a.288
b. 576
c. 252
d. 192

quick pleassee

D

Step-by-step explanation:

The sum to infinity of a geometric sequence is

sum to infinity =

here = 144 and r = , hence

sum =

      =

      = = 192 → D

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2