Is a series is convergent or divergent

[Littlemin5]

Homework Statement

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!

 

[jgens]

For clarification, do you mean

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

or do you mean

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

 

[boboYO]

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

 

[Littlemin5]

For clarification, do you mean

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

or do you mean

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

sorry I meant:

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

 

[jgens]

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

 

[Dick]

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