Prove the following statement using a direct proof. The sum of the squares of any two consecutive integers is odd. Hint: Since the question asks for two consecutive integers, you only need to introduce one variable.

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter4: Selection Structures
Section: Chapter Questions
Problem 14PP
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Prove the following statement using a direct proof.
The sum of the squares of any two consecutive integers is odd.
Hint: Since the question asks for two consecutive integers, you only need to introduce one variable.
Transcribed Image Text:Prove the following statement using a direct proof. The sum of the squares of any two consecutive integers is odd. Hint: Since the question asks for two consecutive integers, you only need to introduce one variable.
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