Question: Use the 3 step Mathematical Induction process to prove the following statements. You must label and show all three steps. Step 1: Prove n

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. You choose any 3 to prove. 1. 1 +3 +52 +...+(2n-1) 2. 3. = Prove n +n is always even. n(2n-1)(2n+1) 3 Prove 32n - 1 is divisible by 8. 4. 36+324 +900+...+(12n-6) = 12n(4n - 1) 5. 13 + 23 +3 +...+n = (n(n+1)
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Solutions Step 1 In this we have to use Mathematical Induction and then solve Proof that n2 n is alw... View full answer
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