Find the first 5 partial sums of the alternating series

What do you notice about the partial sums?
Answer
The first 5 partial sums are

There are several things you could notice. Here are some of them:
- The numbers seem to come in pairs, one negative and then one positive. We get-2, + 2, -4, + 4.
- The partial sums alternate between positive and negative.
- The partial sums go up, then down, then up.