Determine whether the given series converges or diverges. If it converges, find its sum. $\sum _ { n = 0 } ^ { \infty } \frac { - 2 } { ( n + 3 ) ( n + 1 ) }$

Name: Determine whether the given series converges or diverges. If it converges, find its sum. $\sum _ { n = 0 } ^ { \infty } \frac { - 2 } { ( n + 3 ) ( n + 1 ) }$
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The Answer of Determine whether the given series converges or diverges. If it converges, find its sum. $\sum _ { n = 0 } ^ { \infty } \frac { - 2 } { ( n + 3 ) ( n + 1 ) }$

Determine Whether the Given Series Converges or Diverges ∑n=0∞−2(n+3)(n+1)\sum _ { n = 0 } ^ { \infty } \frac { - 2 } { ( n + 3 ) ( n + 1 ) }∑n=0∞​(n+3)(n+1)−2​

Determine Whether the Given Series Converges or Diverges $\sum _ { n = 0 } ^ { \infty } \frac { - 2 } { ( n + 3 ) ( n + 1 ) }$