Let-D-r-determinant-2-r-1-2-3-r-1-4-5-r-1-2-n-1-3-n-1-5-n-1-Then-the-value-of-r-1-n-D-r-is-

Question Number 15192 by arnabpapu550@gmail.com last updated on 08/Jun/17

Let D_{r} = | \begin{matrix} 2^{r - 1} & 2 \cdot 3^{r - 1} & 4 \cdot 5^{r - 1} \\ α & β & γ \\ 2^{n} - 1 & 3^{n} - 1 & 5^{n} - 1 \end{matrix} | .

Then the value of \underset{r = 1}{\sum^{n}} D_{r} is