# $\sum_{n=1}^{\infty}\frac{1\cdot 4\cdot 7\cdots (3n+1)}{n^5}$

$$\sum_{n=1}^{\infty}\frac{1\cdot 4\cdot 7\cdots (3n+1)}{n^5}$$

this question comes right after the question that asks me to prove it with the limit comparsion test. I need to prove that it's divergent.