## 3.1. Sequences

### Examples 3.1.8(b):

We will again not guess what the correct answer might be ahead of time. We will instead look at the difference between two consecutive terms and see if that comes out greater or less than zero.This means that the

*n*-th term minus the

*(n+1)*-th term of the sequence is less than 0, so that the

*n*-th term is less than then

*(n+1)*-th term.

That means, by definition, that the sequence is increasing. Checking a graphical representation of this sequence confirms that.