Prove: For all integers n, if (n + 1)2 is an even number, then n is an odd number. ii. Prove the original statement by contrapositive, not by contradiction!. For this problem, I expect to see the...

ii. Prove the original statement by contrapositive, not by contradiction!. For this problem, I expect to see the following, at a minimum:

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  Use complete sentences throughout your proof.

  
  


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  Define any variables you use, and stating which set they come from (e.g. R, Q, Z, N, etc.),

  
  

  and explaining your arguments thoroughly using definitions where necessary.

  
  


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  Make sure your proof ultimately satisfies the claim you are trying to show.