Use the 3 step Mathematical Induction process to prove the following statements. You must label and...

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Use the 3 step Mathematical Induction process to prove the following 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 + 3 + 5 +...+(2n-1) n(2n-1)(2n+1) 3 2. Prove n + n is always even. 3. Prove 32n-1 is divisible by 8. 4. 36 + 324+ 900+...+(12n-6) = 12n(4n - 1) 5. 1 +2 + 3+...+n = (n(n+1)) 2 2 Use the 3 step Mathematical Induction process to prove the following 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 + 3 + 5 +...+(2n-1) n(2n-1)(2n+1) 3 2. Prove n + n is always even. 3. Prove 32n-1 is divisible by 8. 4. 36 + 324+ 900+...+(12n-6) = 12n(4n - 1) 5. 1 +2 + 3+...+n = (n(n+1)) 2 2