Use the 3 step Mathematical Induction process to prove thefollowing statements. You must label and show all three steps. Step 1: Prove n = 1 is true Step 2: Assume true for all n = k Step 3: plug in k+1 and show it is true. 30 Points You choose any 3 to prove. 1. 1^(2)+3^(2)+5^(2)+...+(2n-1)^(2)=(n(2n-1)(2n+1))/(3) 2. Prove n^2 + n is always even 3. Prove 3^2n -1 is divisible by 8 4. 36+ 324 + 900+...+(12n-6)^2 = 12n(4n^2-1) 5. 1^3 +2^3 + 3^3 + ...+ n^3= ( (n(n+1)) / 2 )^2