1. The problem statement, all variables and given/known data If Ʃa_n is divergent, the absolute value of Ʃa_n is divergent. True or false. This is the main question I am trying to answer. I should be able to answer this problem on my own, but i ran into a problem that confused me. What I Did So I decided to start this question off by looking at some alternating series. I figured this would be the most likely to make this statement FALSE. So I started off by looking at a divergent alternating series on my way I ran into a little problem that confused me. I attached a photo of a solution to a divergent alternating series that I found confusing. ( ). As you can see the test diverges. And this is my problem. When I plugged this in to my maple and approximated it went to -.006.... I don't understand why this would happen if the series is divergent. I included a picture of my approximation on maple. ( ) I might be wrong, but wouldn't you expect to get nothing if the series was divergent? Thanks for reading.