# Math Help - convergence or divergence

1. ## convergence or divergence

Hi all,

I need help determining if
$
\sum_{n=1}^{\infty}\frac{4n}{7n +1}
$

is divergent or convergent. I was thinking of using the direct comparison test, though i am not sure what to compare it with.

ArTiCk

2. The sequence {4n/(7n+1)} converge to 4/7

therefore the series diverges

Recall a Sequence {an} must converge to 0 for

the series sum{an} to even have a chance of convergring