What is the sum of an infinite geometric series if the first term is 156 and the common ratio is 2⁄3? A. 260 B. 468 C. 234 D. 208

Respuesta :

S = a0 / (1 - r)


S is the sum


a0 is the first term


r is the ration


The sum is 2, and the first term is 0.5, so plug in what you know and see what you come up with:


2 = 0.5 / (1 - r)


That's an equation you can solve:


2(1 - r) = 0.5


1 - r = 0.5 / 2 = 0.25


0.75 - r = 0


0.75 = r


Ratio is 0.75.