# Homework Help: Real Analysis: convergence and divergence

1. Apr 13, 2010

### sprstph14

1. The problem statement, all variables and given/known data
Suppose $$\sum n$$ converges and an is greater than 0 for all n. Show that the sum of 1/an diverges.

2. Relevant equations

3. The attempt at a solution

2. Apr 13, 2010

### LCKurtz

I assume you mean Σan.

What are your thoughts? What do you know about an? What have you tried?