If Sr = |[2r,x,n(n+1)],[6r^2-1,y,n^2(2n+...

If `S_r = |[2r,x,n(n+1)],[6r^2-1,y,n^2(2n+3)],[4r^3-2nr,z,n^3(n+1)]|` then `sum_(r=1)^nS_r` does not depend on-

If Sr = |[2r,x,n(n+1)],[6r^2-1,y,n^2(2n+3)],[4r^3-2nr,z,n^3(n+1)]| the...
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Let Deltar=|[r , x , (n(n+1))/2] , [2r-1 , y , n^2] , [3r-2 , z , (n(3...
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sum(r=1)^(n)r^(3)=f(n) then sum(r=1)^(n)(2r-1)^(3) is equal to
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If sum(r=0)^n(2r+3)/(r+1), Cr=((n+k)*2^(n+1)-1)/(n+1) then 'k' is
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lim (n rarr oo) sum (n = 1) ^ (n) tan ^ (- 1) ((2r + 1) / (r ^ (4) + 2...
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If Sr = |[2r,x,n(n+1)],[6r^2-1,y,n^2(2n+3)],[4r^3-2nr,z,n^3(n+1)]| the...
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If sum(r=1)^(n)r^(4)=F(x), then prove that the value of sum(n=1)^(n)r(...
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If |(x^(n),x^(n+2),x^(n+3)),(y^(n),y^(n+2),y^(n+3)),(z^(n),z^(n+2),z^(...
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If Sr=|{:(2r,x,n(n+1)),(6r^2-1,y,n^2(2n+3)),(4r^3-2nr,z,n^3(n+1)):}|, ...
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