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

[mmilton]

Homework Statement

Is the sequence {n} convergent?

Homework Equations

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.

 

[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.