If $f(n)=\begin{vmatrix} n& 1&5\\n^2&2r+1&2r+1\\n^3&3r^2&3r+1\end{vmatrix}$ then $\sum\limits_{n=1}^ r f(n)$ is

Question

$\begin{array}{1 1}(A)\;2\sum \limits_{n=1}^r n&(B)\;2\sum\limits_{n=1}^r n^2\\(C)\;\large\frac{1}{2}\normalsize \sum \limits_{n=1}^r n^2&(D)\;0\end{array}$