2.10.25 Number series

Problem: Examine the series for convergence: 1) \( \sum_{n=1}^{\infty}(-1)^{n} \cdot\left(\frac{3 n+5}{6 n+7}\right)^{n} \),2) \( \sum_{n=1}^{\infty}(-1)^{n} \frac{3^{-\sqrt{2 n+5}}}{\sqrt{2 n+5}} \).