Answered: Prove that these four statements about…

Prove that these four statements about the integer n are equivalent: a) n 2 is odd. b) 1 – n is even. c) n3 is odd. d) n 2 + 1 is even.

Programming Logic & Design Comprehensive

9th Edition

ISBN:9781337669405

Author:FARRELL

Publisher:FARRELL

Chapter4: Making Decisions

Section: Chapter Questions

Problem 8RQ

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Question

Prove that these four statements about the integer n are equivalent:
a) n
2
is odd.
b) 1 – n is even.
c) n3 is odd.
d) n
2
+ 1 is even.

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