**OK, so how can we find that magical nth term for a geometric sequence? (Remember that this will get you that sigma notation to generate the series for these.)**

**Let's do one the long way and figure out how the formula works for these.**

**Let's find the 50th term and the nth term of this geometric sequence**

**First we need the ratio:**

**Now, let's do the table thang!**

**This is getting messy! Let's streamline the notation so we can nail the pattern.**