Mean of the numbers `1,2,3,...,` ,`n` with respective weights `1^(2)+1,2^(2)+2,3^(2)+3,......,n^(2)+n` is

The mean of then Numbers 0,1,2,3.......n with respective weights ""^(n)C_(0),""^(n)C_(1),""^(n)C_(2)........""^(n)C_(n) is

The mean of the values 0,1,2,3,... n,having corresponding weights C(n,0),C(n,1),C(n,2)......C(n,n) respectively is:

The number of positive integers n in the set {1, 2, 3, .......100} for which the number (1^(2)+2^(2)+3^(2)+......+n^(2))/(1+2+3+......+n) is an integer is

If the mean of nobservations 1^(2),2^(2),3^(2).......,2^(n) is,46(n)/(11) then n is equal to

Prove that : 1^(2)+2^(2)+3^(2)+...+n^(2)=(n(n+1)(2n+1))/(6)

The number of positiveintegers n in the set (1,2,3,.00) for which the number (1^(2)+2^(2)+3^(2)+...+n^(2))/(1+2+3...n) is an integer is

The arthmetic mean of the numbers 1,3,3^(2), … ,3^(n-1), is