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Prove that n/2 n/2 = n2/4 for all integers n.

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 22E Chapter 2.SE

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 22E

Prove that ?n/2? ? n/2? = ?n2/4? for all integers n.

Step-by-Step Solution:
Step 1 of 3

Solution:Step-1: In this problem we need to prove that for all integers n………(1) NOTE: The symbols for floor and ceiling are like the square brackets [ ] with the top or bottom part missing. Example : Case(1) : If n is an even integer. Let us consider , n = 2a then , since from(1)That implies , That implies , Therefore...

Step 2 of 3

Chapter 2.SE, Problem 22E is Solved
Step 3 of 3

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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Prove that n/2 n/2 = n2/4 for all integers n.

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