Use mathematical induction to prove the following:

Prove 2 + 3 + +(n + 1) = n(n,for n-1,2,3, 4. 5. Prove 3 +5+7+.. + (2n + 1) = (n + 2)n,for n = 1,2, 3, 6. Prove 31 (n3-n), for n = 0, 1, 2, 3