Conjecture the general formula suggested by these four equations, and prove your conjecture. This is induction

Question

1) 1=1
2) 2+3+4 = 1+8
3) 5+6+7+8+9= 8 +27
4)10+11+12+13+14+15+16= 27+ 64

this is given and I got the right side which is (n)^3 + (n-1)^3

Thank you very much OTL

Answer 1

And the left hand side is the sum as k goes from (n-1)^2+1 to n^2 of k^2.