My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum


Thanks Tree1Thanks
  • 1 Post By SDK
Reply
 
LinkBack Thread Tools Display Modes
September 11th, 2018, 10:48 PM   #1
Senior Member
 
Joined: May 2015
From: Arlington, VA

Posts: 374
Thanks: 26

Math Focus: Number theory
Equality of averages

Given x not equal to y, when does their arithmetic average equal their geometric average?
Loren is offline  
 
September 11th, 2018, 11:37 PM   #2
Global Moderator
 
Joined: Dec 2006

Posts: 19,542
Thanks: 1751

What makes you think that's possible?
skipjack is offline  
September 12th, 2018, 04:51 AM   #3
SDK
Senior Member
 
Joined: Sep 2016
From: USA

Posts: 444
Thanks: 254

Math Focus: Dynamical systems, analytic function theory, numerics
Quote:
Originally Posted by Loren View Post
Given x not equal to y, when does their arithmetic average equal their geometric average?
Never. This is the AM/GM inequality. It says GM $\leq$ AM with equality if and only if $x=y$.
Thanks from Loren
SDK is offline  
Reply

  My Math Forum > High School Math Forum > Algebra

Tags
averages, equality



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Averages mjsilverfly Probability and Statistics 5 June 23rd, 2018 02:35 AM
Help with Averages john2k Math 10 December 14th, 2017 02:16 AM
Help with averages please Letecia Math 3 July 13th, 2016 07:58 PM
Rolling averages Rolling Average Probability and Statistics 1 June 3rd, 2015 02:54 PM
Averages mswanson502 Elementary Math 2 October 3rd, 2011 06:31 AM





Copyright © 2018 My Math Forum. All rights reserved.