2.10.105 Number Series

Condition: using a sign of comparison, to explore the series for convergence: \ [\ sum_ {n = 1}^{\ infty} \ frac {3 n^{\ frac {2}}+7 n^{\ frac {2} {15}}+n^{\ frac {1} {9}} {9 n^{\ frac {25}}} {24} {\ frac {5} {24}} \]]