Determine whether the following alternating series are absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent".

1. $\displaystyle \sum_{n=1}^{\infty}\frac{(-1)^{n-1}}{4n-5}$

2. $\displaystyle \sum_{n=1}^{\infty}(-1)^n\frac{3n}{7n^{2}+1}$

3. $\displaystyle \sum_{n=1}^{\infty}(-1)^{n+1}\frac{2-5n}{n^{3}+6}$

Note: You only have two attempts at this problem.