JEE Advanced 2016 (1)

Algebra Level 4

\[\sum_{r=1}^{25}(3p_{r}+2q_{r})\] Find the value of above expression if \(p_{r},q_{r} (p_{r}<q_{r})\) are the roots of \(x^{2}-r^{2}(r+1)x+r^{5}=0\).