**Remember when I did that list with the a's to describe a sequence...**

**And I told you this was the nth term?**

**That probably didn't mean much to you at the time. Here's what we use this for:**

**The nth term is given by a formula.We can use this formula to build the sequence.**

**Check it out:**

**Let's build the sequence whose nth term is given by**

**See the n's in this guy ?**

**If we let n = 1, we'll get the first term of the sequence:**

**If we let n = 2, we'll get the second term:**

**If we let n = 3, we'll get the third term:**

**and so on...**

**So, our sequence is**

**It's easy!**

**When you're given a formula for , you stick in n = 1, then n = 2, then 3, 4, and 5 to get the first five terms.**

**TRY IT:**

**Build the sequence (the first five terms) whose nth term is given by**