Let `Delta_(a)=|{:((a-1),n,6),((a-1)^(2), 2n^(2),4m-2),((a-1)^(3),3n^(3),3n^(2)-3n):}|` the value of `sum_(a=1)^(n)Delta_(a)` is

Let Delta_(a)=|{:((a-1),n,6),((a-1)^(2), 2n^(2),4n-2),((a-1)^(3),3n^(3),3n^(2)-3n):}| the value of sum_(a=1)^(n)Delta_(a) is

" Let " Delta_(r)=|{:(r-1,,n,,6),((r-1)^(2),,2n^(2),,4n-2),((r-1)^(2),,3n^(3),,3n^(2)-3n):}|. " Show that " Sigma_(r=1)^(n) Delta_(r) is constant.

If Delta_(m) = |(m -1,n,6),((m-1)^(2),2n^(2),4n -2),((m -1)^(3),3n^(3),3n^(2) - 3n)| , then Sigma_(m =1)^(n) Delta_(m) is equal to

Let Delta_(alpha)=det[[(alpha-1),n,6(alpha-1)^(2),2n^(2),4n-2(alpha-1)^(3),3n^( 3),3n^(2)-3n]]

The value of sum_(n=1)^(oo)(4n-2)/(3^(n))

If Delta_(r) = |(1,r,2^(r)),(2,n,n^(2)),(n,(n(n_1))/(2),2^(n+1))| , then the value of sum_(r=1)^(n) Delta_(r) is

If Delta_r=|(r,2r-1,3r+2),(n/2,n-1,a),(1/2n(n-1),(n-1)^2,1/2(n-1)(3n+4))| then the value of sum_(r=1)^(n-1) Delta_r (1) depends only on n (2) is independent of both a and n (3) depends only on a (4) depends both on a and n

If ,y,z2^(r),2xx3^(r),3xx4^(r)2(2^(n)-1),3*(3^(n)-1),4*(4^(n)-1) Find the value of ,sum_(r=1)^(n)Delta_(r)