Solution Found!
Show that if an denotes the nth positive integer that is
Chapter 1, Problem 27E(choose chapter or problem)
Show that if \(a_{n}\) denotes the \(n\)th positive integer that is not a perfect square, then \(a_{n}=n+\{\sqrt{n}\}\), where \(\{x\}\) denotes the integer closest to the real number \(x\).
Equation Transcription:
Text Transcription:
a_n = n+ { sqrt n}
{x}
x
Questions & Answers
QUESTION:
Show that if \(a_{n}\) denotes the \(n\)th positive integer that is not a perfect square, then \(a_{n}=n+\{\sqrt{n}\}\), where \(\{x\}\) denotes the integer closest to the real number \(x\).
Equation Transcription:
Text Transcription:
a_n = n+ { sqrt n}
{x}
x
ANSWER:
Solution:
Step1:
In this problem, we have to show that an=n+{where {x} denotes the integer closest to the real number x where an denotes the nth positive integer that is not a perfect square then.