2.10.124 Number series

Condition: Calculate the sum \( p+q+c+d+e \) of the general term formula \( a_{n}=\frac{p n+q}{c n^{2}+d n+e} \) of the number series \[ \frac{10}{4}-\frac{15}{8}-\frac{20}{16}-\frac{25}{28}-\frac{30}{44}+\cdots \]