\frac{1}{24}-(\frac{-3}{2}\frac{1}{4}-\frac{3}{2}\frac{1}{5}+\frac{-3}{2}\sum_{n= 3}^{\propto }\frac{1}{\left ( n+3 \right ) }+4\frac{1}{5}+4\sum_{n= 3}^{\propto }\frac{1}{\left ( n+3 \right ) }-\frac{5}{2}\sum_{n= 3}^{\propto }\frac{1}{\left ( n+3 \right ) }