Help me on these problems : 1, 2, 4, 6.

MUST show all three steps

In Exercises 1-11, using induction, verify that each equation is true for every positive integer n. 1. 1+3+5++(2n1)=n2 2. 12+23+34++n(n+1)=3n(n+1)(n+2) 3. 1(1!)+2(2!)++n(n!)=(n+1)!1 4. 12+22+32++n2=6n(n+1)(2n+1) 5. 1222+32+(1)n+1n2=2(1)n+1n(n+1) 6. 13+23+33++n3=[2n(n+1)]2