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

$$\mathrm{If}m\mathrm{is}\mathrm{a}\mathrm{positive}\mathrm{integer}\mathrm{and}$$$${△}_r=\left|\begin{array}{ccc}2r-1& {}^m{C}_r& 1\\ m^2-1& 2^m& m+1\\ {\sin }^2\left(m^2\right)& {\sin }^2\left(m\right)& {\sin }^2(m+1)\end{array}\right|$$$$\mathrm{then}\mathrm{the}\mathrm{value}\mathrm{of}\underset{r=0}{\sum ^m}{△}_r\mathrm{is}$$

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

$$\mathrm{please}\mathrm{give}\mathrm{me}\mathrm{answer}\mathrm{soon}$$

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