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Prove that if n is an integer, then [n/2]= n/2 if n is
Chapter 1, Problem 53E(choose chapter or problem)
QUESTION:
Problem 53E
Prove that if n is an integer, then [n/2]= n/2 if n is even and (n – 1)/2 if n is odd.
Questions & Answers
QUESTION:
Problem 53E
Prove that if n is an integer, then [n/2]= n/2 if n is even and (n – 1)/2 if n is odd.
ANSWER:
Solution:
Step1
Given that
We have to prove that if n is an integer, then [n/2]= n/2 if n is even and (n – 1)/2 if n is odd.
Step2
When n is even.
Let n=2y
y= ------(1)
For y as an integer.
Then put value of n we get