# Determining if a series is convergent or divergent

1. Jan 4, 2010

### Littlemin5

1. The problem statement, all variables and given/known data
Determine the convergence or divergence of the series. If the series is convergent, find its sum. Justify each answer.

(n=1, to infinity) $$\sum(7/9 + n^5)$$

Help please? I missed a lot of school recently from being sick and need help with this!

2. Jan 4, 2010

### jgens

For clarification, do you mean

$$\sum_{n=1}^{\infty}\frac{7}{9 + n^5}$$

or do you mean

$$\sum_{n=1}^{\infty}(\frac{7}{9} + n^5)$$

3. Jan 4, 2010

### boboYO

Try adding up the first few terms. What do you get?

4. Jan 4, 2010

### Littlemin5

sorry I meant:

$$\sum_{n=1}^{\infty}\frac{7}{9 + n^5}$$

5. Jan 4, 2010

### jgens

Thanks for the clarification. Alright, what have you tried so far?

6. Jan 4, 2010

### Dick

jgens wants you think think about a comparison test, I'm very sure.