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Prove that these four statements about the integer n are
Chapter 7, Problem 42E(choose chapter or problem)
QUESTION:
Prove that these four statements about the integer n are equivalent: (i) n2 is odd, (ii) 1 -n is even, (iii) n3 is odd, (iv) n2 + 1 is even.
Questions & Answers
QUESTION:
Prove that these four statements about the integer n are equivalent: (i) n2 is odd, (ii) 1 -n is even, (iii) n3 is odd, (iv) n2 + 1 is even.
ANSWER:SOLUTIONStep 1We need to prove that the given statements are equivalent.1. is odd 2. is even3. is odd4. We know that all the even numbers are of the form and all the odd numbers are of the form