The value of \( \sum_{n=1}^{N} U_{n} \) if \( U_{n}=\left|\begin{ar...

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The value of \( \sum_{n=1}^{N} U_{n} \) if \( U_{n}=\left|\begin{array}{lll}n & 1 & 5 \\ n^{2} & 2 N+1 & 2 N+1 \\ n^{3} & 3 N^{2} & 3 N\end{array}\right| \) is
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