Determine the convergence type of ∑n=1∞(−1)n(n+1)n2\sum_{n=1}^{\infty} \frac{(-1)^n (n+1)}{n^2}∑n=1∞n2(−1)n(n+1)
Converges absolutely
Converges conditionally
Diverges by the Divergence Test
The series oscillates without converging