Question

What is the sum of the geometric series for which `a_1 = 3, r=2, n=12`?

Answer 1

`S_n = 12,285`

Explanation:

All the information we need has been given. Now it is a matter of knowing which formula to use and substituting the given numbers.

For a GP where `r > 1: " " S_n = (a_1(r^n - 1))/((r-1))`

`S_n = (3(2^12 - 1))/(2-1)`

`S_n = 3(4,095)`

`S_n = 12,285`