If-m-is-a-positive-integer-and-r-determinant-2r-1-m-C-r-1-m-2-1-2-m-m-1-sin-2-m-2-sin-2-m-sin-2-m-1-then-the-value-of-r-0-m-r-i

Question Number 15191 by arnabpapu550@gmail.com last updated on 08/Jun/17

If m is a positive integer and

△_{r} = | \begin{matrix} 2 r - 1 & ^{m} C_{r} & 1 \\ m^{2} - 1 & 2^{m} & m + 1 \\ \sin^{2} (m^{2}) & \sin^{2} (m) & \sin^{2} (m + 1) \end{matrix} |

then the value of \underset{r = 0}{\sum^{m}} △_{r} is

Commented by arnabpapu550@gmail.com last updated on 08/Jun/17

please give me answer soon