Answer:
The sum of this geometric series is 720.
Step-by-step explanation:
The sum of a infinite geometric series is given by the following formula:
[tex]s = \frac{a_1}{1 - r}\\[/tex]
Applying the data from the problem, we have:
[tex]s = \frac{180}{1 - \frac{3}{4}}\\\\s = \frac{180}{\frac{4 - 3}{4}}\\\\s = \frac{180}{\frac{1}{4}}\\\\s = 180*4 = 720[/tex]
The sum of this geometric series is 720.
