Problem 2 (10 points) Prove by induction that for all 1 the following holds:

1^2 + 2^2 + + ^2 =

(( + 1) (2 + 1)) / 6

Problem 2 (10 points) Prove by induction that for all n1 the following holds: 12+22++n2=6n(n+1)(2n+1)