# Homework Help: Is the sequence {n} convergent? (I'm thinking that it is not)

1. Apr 26, 2012

### mmilton

1. The problem statement, all variables and given/known data
Is the sequence {n} convergent?

2. Relevant equations

3. The attempt at a solution

I believe that it is not convergent. I'm thinking that I could show this by a Proof by contradiction, but I am not certain. Am I going down the right route? Thanks.

2. Apr 26, 2012

### sid9221

For:
$$a_n = n$$ As $$n-> \inf$$ clearly this number does not "converge" as it keeps getting bigger.....

For a proof try showing that a_n+1 is always greater than a_n hence implying that it keep's getting bigger.