
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
December 18th, 2018, 05:50 AM  #1 
Member Joined: Nov 2012 Posts: 80 Thanks: 1  Mathematic induction
In the suggested answer on the second page, it says 1<=(2n+1)/2n. However, I doubt that the fraction should be only greater than 1 instead of being equal and greater than 1 for n = 1,2,3,.... Could anyone tell me why the inequality include the equal sign?

December 18th, 2018, 06:33 AM  #2 
Senior Member Joined: Dec 2015 From: somewhere Posts: 551 Thanks: 83 
For n=1,2,3... it could be written as < But $\displaystyle \leq $ makes sense too , it means = or < Example $\displaystyle 2 \leq 2$ is true Sometimes it holds true for both , $\displaystyle 1\leq n$ Last edited by idontknow; December 18th, 2018 at 06:37 AM. 
December 18th, 2018, 04:57 PM  #3 
Member Joined: Nov 2012 Posts: 80 Thanks: 1 
Oh, I see. => literally means = or >. Either case can fulfill the requirment. Thank you for your helpí ¾í´—


Tags 
induction, mathematic 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Proof by mathematic induction  adventuressCO  Number Theory  6  August 7th, 2016 05:22 PM 
What is the future of Mathematic and mathematicians?  Fractalon  Math  0  November 2nd, 2014 12:34 PM 
Simple Mathematic yet hard  maple_leaf  Elementary Math  9  May 25th, 2013 06:41 AM 
mathematic induction  Brandon3  Algebra  4  March 7th, 2010 01:29 PM 
mathematic induction  medos  Applied Math  3  December 31st, 1969 04:00 PM 