Let Dₖ = |1 2k 2k−1; n n²+n+2 n²; n... | Determinants

JEE MAIN 2023

12-04-2023 S1

Question

Let $D_k=\left|\begin{array}{ccc}1 & 2 k & 2 k-1 \\ n & n^2+n+2 & n^2 \\ n & n^2+n & n^2+n+2\end{array}\right|$. If $\sum_{k=1}^n D_k=96$, then| $n$ is equal to-

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JEE Main

Mathematics

Medium

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