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: ?
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: ?