If $D_r=\begin{vmatrix}2^{r-1}&2.3^{r-1}&4.5^{r-1}\\\alpha&\beta&\gamma\\2^n-1&3^n-1&5^n-1\end{vmatrix}$ then the value of $\sum\limits_{r=1}^n D_r$ is

Question

$\begin{array}{1 1}(A)\;0&(B)\;\alpha\beta\gamma\\(C)\;\alpha+\beta+\gamma&(D)\;\alpha.2^n+\beta.3^n+\gamma.4^n\end{array}$