1. The problem statement, all variables and given/known data I'm reviewing for a test and working on the practice problems for the ratio test that Pauls Online Notes gives. So here is given problem: Here is his solution for the problem: 2. The attempt at a solution I worked this out before I looked at the solution and I got it wrong. I had it right up until the 4th step. Can someone explain this step to me? I don't understand why the (n-1)! is broken up into (n-1)(n-2)! Isn't this supposed to be the decomposition of (n-2)!? I'm sorry if this is a stupid question, I'm just trying to learn from my mistakes so that I won't do this again. Thanks for stopping by!