JEE Main 202312 Apr, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002Let Dk=∣12k2k−1nn2+n+2n2nn2+nn2+n+2∣\mathrm{D}_{\mathrm{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|Dk=1nn2kn2+n+2n2+n2k−1n2n2+n+2. If \sum_\limits{k=1}^{n} \mathrm{D}_{\mathrm{k}}=96, then nnn is equal to _____________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution