Question

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

Answer 1

Answer:

D

Step-by-step explanation:

The sum to infinity of a geometric sequence is

sum to infinity = $\frac{a_{1} }{1-r}$

here $a_{1}$ = 144 and r = $\frac{1}{4}$, hence

sum = $\frac{144}{1-\frac{1}{4} }$

      = $\frac{144}{\frac{3}{4} }$

      = $\frac{144(4)}{3}$ = 192 → D