Find the Sum of the Series $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { ( 5 n - 1 ) ( 5 n + 1 ) }$

Multiple Choice

Find the sum of the series $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { ( 5 n - 1 ) ( 5 n + 1 ) }$ .

A) $\frac { 1 } { 5 }$
B) $\frac { 1 } { 6 }$
C) $\frac { 1 } { 2 }$
D) $\frac { 1 } { 10 }$
E) 1
F) $\frac { 3 } { 4 }$
G) $\frac { 3 } { 2 }$
H) Divergent