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

## Problem 22E Chapter 2.SE

Discrete Mathematics and Its Applications | 7th Edition

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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.

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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...

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