# If $\Delta_r=\begin{vmatrix}2^{r-1}&\large\frac{(r+1)!}{1+\large\frac{1}{r}}&2r\\a&b&c\\2^n-1&(n+1)!-1&n(n+1)\end{vmatrix}$ then value of $\sum\limits_{r=1}^n\Delta_r$ is
$\begin{array}{1 1}(A)\;0&(B)\;(n+3)!\\(C)\;a(n!)+b&(D)\;\text{None of these}\end{array}$