If nth term of a series is 1 (n+1)(n+3) , then sum of infinite terms of the series

Mathematics · JEE Advanced · NTA ExamsProgression and Series

If nth term of a series is \(\frac{1}{(n+1)(n+3)},\) then sum of infinite terms of the series
  1. 3/2
  2. 1/2
  3. 5/2
  4. 5/12

Answer

(D) 5/12

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