2.10.105 Number series

condition: Using the comparison criterion, examine the series for convergence: \[ \sum_{n=1}^{\infty} \frac{3 n^{\frac{2}{3}}+7 n^{\frac{2}{15}}+n^{\frac{1}{9}}}{9 n^{\frac{25}{24}}-4 n^{\frac{5}{24}}} \]