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 equals (a)`4` (b)` 6` (c)` 8` (d) none of these

If Delta_k=|(1,n,n), (2k, n^2+n+1, n^2+n), (2k-1, n^2, n^2+n+1)| and sum_(k=1)^n Delta_k = 56, then n is equal to (i)4 (ii)6 (iii)8 (iv)none

If D_k=1nn2k n^2+n+1n^2+n2k-1n^2n^2+n+1a n dsum_(k=1)^n D_k=56. then n equals 4 b. 6 c. 8 d. none of these

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)^(n) D_(k)=56 then n equals

if U_n = |[1 , k , k] , [2n , k^2+k+1 , k^2+k] , [2n-1 , k^2 , k^2+k+1]| and sum_(k=1->n)U_n=72 then value of k is:

If Delta_(k) = |(k,1,5),(k^(2),2n +1,2n +1),(k^(3),3n^(2),3n +1)|, " then " sum_(k=1)^(n) Delta_(k) is equal to

Lt_(nrarroo) {(n!)/(kn)^n}^(1/n), k!=0 , is equal to (A) k/e (B) e/k (C) 1/(ke) (D) none of these

If U_(n) = |[1,K,K],[2n,K^(2)+K+1,K],[2n+1,K^(2)+K+1,K]| and sum_(n=1)^(K)U_(n)=-90 then absolute value of K is equal to

If sum_(k=1)^(n)4(k-3)=An^(2)+Bn+C,n in N then |A+B-C| equals

If Delta_k=|(1,n,n),(2(k-1),n(n+1),n(n-1)),(4k(k^2-1),n(n+1)(n^2-4),n(n+2)(n^2-1))|, then f(n)=sum_(k=1)^n Delta_k+n is a polynomial of degree (i)0 (ii)1 (iii)6 (iv)7