Determine If the Series Converges or Diverges $\sum_{n=1}^{\infty} \frac{7 n}{(2 n-1)^{2}(2 n+1)^{2}}$

Multiple Choice

Determine if the series converges or diverges. If the series converges, find its sum.
- $\sum_{n=1}^{\infty} \frac{7 n}{(2 n-1) ^{2}(2 n+1) ^{2}}$

A) converges; $\frac{35}{6}$
B) converges; $\frac{7}{8}$
C) converges; $\frac{21}{8}$
D) converges; $\frac{49}{6}$