Prove the following by the principle of mathematical induction: `1^2+2^2+3^2++n^2=(n(n+1)(2n+1))/6`

Explanation

`P(n):1^2+2^2+3^2+........+n^2=(n(n+1)(2n+1))/6​`


`P(1):1^2=(1(1+1)(2(1)+1))/6​
1=6/6​=1`

∴LHS=RHS


Assume P(k) is true


...