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Prove that if n is an integer, then 3n + 1 and 5n + 2 are of opposite parity
Chapter 3, Problem 4(choose chapter or problem)
QUESTION:
Prove that if n is an integer, then 3n + 1 and 5n + 2 are of opposite parity.
Questions & Answers
QUESTION:
Prove that if n is an integer, then 3n + 1 and 5n + 2 are of opposite parity.
ANSWER:Problem 4
Prove that if is an integer, then and are of opposite parity.
Step by step solution
Step 1 of 4
Consider the following corresponding to some integer ‘k’,
- A number of the form is always an even number.
- A number of the form is always an odd number
To Prove: The terms and are of opposite parity.