2.10.119 Number series

Condition: Examine the series for convergence: 1) \( \sum_{n=1}^{\infty} \frac{(-1)^{n}}{\sqrt[5]{n^{3}}} \) 2) \( \sum_{n=1}^{\infty}(-1)^{n-1} \frac{1}{(n+1) 2^{2 n}} \).