Proof and Logic

Proof and Logic

3.24. Let n ∈ Z. Prove

2n^2+n is odd cos(nπ)/2 is even

Proving in P⇒Q direction

Hypothesis: ?

Conclusion: ?

Type of Proof: ? You might want to try

Proving in Q⇒P direction

Hypothesis: ?

Conclusion: ?

Type of Proof: ?