For all `n geq1` , prove that `1^2+2^2+3^2+4^2+""dot""""dot""""dot+n^2=` `(n(n+1)(2n+1))/6`

For all n geq1 , prove that 1^2+2^2+3^2+4^2+dotdotdot+n^2= (n(n+1)(2n+1))/6

For all n gt= 1 , prove that, 1^2 + 2^2 + 3^2 + 4^2 + …….+n^2 = (n(n+1)(2n+1))/(6)

For all n gt 1 , prove that 1^(2)+2^(2)+3^(2)+4^(2)+...........+n^(2) = (n(n+1)(2 n+1))/(6)

For all n ge 1 prove that 1^(2)+2^(2)+ 3^(2)+4^(2)+….+n^(2)= (n(n+1)(2n+1))/(6)

For all n ge 1 prove that 1^(2)+2^(2)+ 3^(2)+4^(2)+….+n^(2)= (n(n+1)(2n+1))/(6)

For all n ge 1 prove that 1^(2)+2^(2)+ 3^(2)+4^(2)+….+n^(2)= (n(n+1)(2n+1))/(6)

Prove the following by using the principle of mathematical induction for all n in N : 1^3+2^3+3^3+""dot""""dot""""dot+n^3=((n(n+1))/2)^2

Prove that [(n+1)//2]^n >(n !)dot

Prove that [(n+1)//2]^n >(n !)dot

For all ,prove that ,prove that 1^(2)+2^(2)+3^(2)+4^(2)+...+n^(2)=(n(n+1)(2n+1))/(6)