Question:medium

If \[ \Delta_r = \begin{vmatrix} 1 & n & n \\ 2r & n^2+n+1 & n^2+n \\ 2r-1 & n^2 & n^2+n+1 \end{vmatrix} \] and \( \sum_{r=1}^{n} \Delta_r = 56 \), then \( n \) is

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Use linearity of determinant to simplify summation problems.
Updated On: Apr 23, 2026
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The Correct Option is C

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