Prove the following statement by proving the contrapositive….

Prove the following statement by proving the contrapositive.  “If n2 +1 is odd, then n is even, for all n ∈ ℤ.” Use good proof technique.  Grading rubric:1 pt. State the contrapositive at the beginning, then prove it.1 pt. State any givens and assumptions.1 pt. Clearly explain your reasoning.1 pt. State the final conclusion at the end of the proof. Note:  To avoid the need for typing superscript exponents, you may use the expression ‘n-squared’ or ‘n^2’ to represent n2.