Math Help - Determine divergence or convergence by Alternating Series Test

1. Determine divergence or convergence by Alternating Series Test

Series , n=1, (-1)^(n+1) (4n-1)/4n
I need to solve this by Alternating Test, and according to it a(n+1) is greater than a(n), which means that the test failed.

Is this correct?
Thank you.

2. Hello, oceanmd!

$\sum^{\infty}_{n=1}\frac{(\text{-}1)^{n+1}(4n-1)}{4n}$

I need to solve this by Alternating Test, and according to it: . $a_{n+1} \:>\:a_n$

. . . which means that the series diverges.

3. Thank you

Thank you very much.