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

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choose one Absolutely Convergent Conditionally Convergent Divergent 1. $\displaystyle \sum_{n=1}^{\infty}\frac{(-1)^{n-1}}{4n-5}$

choose one Absolutely Convergent Conditionally Convergent Divergent 2. $\displaystyle \sum_{n=1}^{\infty}(-1)^n\frac{3n}{7n^{2}+1}$

choose one Absolutely Convergent Conditionally Convergent Divergent 3. $\displaystyle \sum_{n=1}^{\infty}(-1)^{n+1}\frac{2-5n}{n^{3}+6}$

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Note: You only have two attempts at this problem.

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