1. The problem statement, all variables and given/known data I have a couple of series where I need to find out if they are convergent (absolute/conditional) or divergent. Σ(n3/3n Σk(2/3)k Σ√n/1+n2 Σ(-1)n+1*n/n^2+9 2. Relevant equations Comparison Test Ratio Test Alternating Series Test Divergence Test, etc 3. The attempt at a solution For the first series I determined it converges absolutley since taking the ratio test gives me 1/3 which is less than 1. The second series I am lost on, I tried comparison test for a geometric series, but that k is an issue, so I went to ratio test, which is even more confusing for this series. I want to know what series test I should use and then I will do the work. The third series I just compared 1/n2 and got taht it converges since we know the Σ1/n2 converges and the series an < bn (where an is the third series in the bullet point list and bn is my comparison series. The final series I did the same thing, but since it is alternating I decided to go with the alternating series test which I really don't know how to solve, but overall the series diverged if I did the test for divergence where lim n→∞ (n/n2+9) ≠ 0. Am I correct on most of these and could I get help with series 2.