2.10.50 Number series

Condition: Using d'Alembert's test, investigate the convergence of the series. \[ \sum_{n=0}^{\infty} \frac{4 \cdot 7 \cdot 13 \cdot \ldots \cdot(3 n+4)}{3 \cdot 7 \cdot 1 \cdot \ldots \cdot(4 n+3)} \]