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

Chapter 2, Problem 22E

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QUESTION:

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

Questions & Answers

QUESTION:

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

ANSWER:

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) :

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