# JEE maths#22

Calculus Level 4

If $S = \dfrac{4}{1 \cdot 2 \cdot 3} + \dfrac{5}{2 \cdot 3 \cdot 4} + \dfrac{6}{3 \cdot 4 \cdot 5} \cdots$ till $n$ terms and $S = K - \dfrac{(2n+5)}{2(n+1)(n+2)}$, then find $K$.



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