If `D_k=|[1,n,n],[2k,n^2+n+2,n^2+n],[2k-1,n^2,n^2+n+2]|` and `sum_(k=1)^n D_k=48 `,then n equal...

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If D_k=|[ 1 n n; 2 k n^2+n+2 n^2+n; 2 k-1 n^2 n^2+n+2 ]| and ∑_k=1^... If D_k=|[ 1 n n; 2 k n^2+n+2 n^2+n; 2 k-1 n^2 n^2+n+2 ]| and ∑_k=1^...
If Dk = |[[1, n, n],[2k, n^2+n+2, n^2+n],[2k-1, n^2, n^2+n+2]]| and n, k =1 Dk = 48, then n equals If Dk = |[[1, n, n],[2k, n^2+n+2, n^2+n],[2k-1, n^2, n^2+n+2]]| and n, k =1 Dk = 48, then n equals
If `D_(k) = |(1,n,n),(2k,n^(2) + n +2,n^(2) + n),(2k -1,n^(2),n^(2) + n + 2)| sum_(k=1)^(n) D_(k) = If `D_(k) = |(1,n,n),(2k,n^(2) + n +2,n^(2) + n),(2k -1,n^(2),n^(2) + n + 2)| sum_(k=1)^(n) D_(k) =
if D_(k) = |{:( 1,,n,,n),(2k,,n^(2)+n+1 ,,n^(2)+n),(2k-1,,n^(2),,n^(2)+n+1):}| and Sigma_(k=1)^... if D_(k) = |{:( 1,,n,,n),(2k,,n^(2)+n+1 ,,n^(2)+n),(2k-1,,n^(2),,n^(2)+n+1):}| and Sigma_(k=1)^...
Let Dk be the determinant of the matrix [1 2k 2k-1, n n^2+n+2 n^2, n n^2+n n^2+n+2] |JEE Main 2023 Let Dk be the determinant of the matrix [1 2k 2k-1, n n^2+n+2 n^2, n n^2+n n^2+n+2] |JEE Main 2023
If I did this in 1734 I If I did this in 1734 I'd be World Famous
IOQM 2020-21 | If Summation(k=1 to N)[(2k+1)/(k^2+k)^2]=0.9999 then determine the value of N. IOQM 2020-21 | If Summation(k=1 to N)[(2k+1)/(k^2+k)^2]=0.9999 then determine the value of N.
Find the limit 1/n^2*sum(sqrt((ne^x+k)(ne^x+k+1))), k=1, 2,…, n, when n approaches infinity. Find the limit 1/n^2*sum(sqrt((ne^x+k)(ne^x+k+1))), k=1, 2,…, n, when n approaches infinity.