This week I learned about finite geometric series and how to find the general term (t_n) along with how to find the sum of whatever the term number is.

To find t_n, you need t_1 and the common ratio

In this example I’m looking for t_{13} with a t_1 of 5 and a common ratio of 2

And in this next example I show how to find S_{13} with the same numbers.