Problem 18E

Show that if n is an integer, then n = ⌈n/2⌉ + ⌊n/2⌋.

Solution:

Step 1

In this problem we are asked to prove that n = ⌈n/2⌉ + ⌊n/2⌋, if n is an integer.

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Discrete Mathematics And Its Applications - 7 Edition - Chapter 2.se - Problem 18e

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ISBN: 9780073383095
37

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition

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Problem 18E

Problem 18E

Show that if n is an integer, then n = ⌈n/2⌉ + ⌊n/2⌋.

Step-by-Step Solution:
##### Textbook: Discrete Mathematics and Its Applications

##### Edition: 7

##### Author: Kenneth Rosen

##### ISBN: 9780073383095

Solution:

Step 1

In this problem we are asked to prove that n = ⌈n/2⌉ + ⌊n/2⌋, if n is an integer.

Step 2 of 2
###### Chapter 2.SE, Problem 18E is Solved

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Since the solution to 18E from 2.SE chapter was answered, more than 355 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. The full step-by-step solution to problem: 18E from chapter: 2.SE was answered by , our top Math solution expert on 06/21/17, 07:45AM. This full solution covers the following key subjects: Integer, show. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. The answer to “Show that if n is an integer, then n = ?n/2? + ?n/2?.” is broken down into a number of easy to follow steps, and 13 words.

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Show that if n is an integer, then n = ?n/2? + ?n/2?.