My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Reply
 
LinkBack Thread Tools Display Modes
April 9th, 2015, 09:18 AM   #1
Senior Member
 
Joined: May 2012

Posts: 203
Thanks: 5

induction

I am not sure what constitutes as a proof by induction for the problem such as:

an+1= (an+6)/2 , n=1,2... a1=2

show that an <6 for all n
Kinroh is offline  
 
April 9th, 2015, 10:09 AM   #2
Math Team
 
Joined: Dec 2013
From: Colombia

Posts: 6,854
Thanks: 2228

Math Focus: Mainly analysis and algebra
$a_1= 2 \lt 6$
Assume $a_n \lt 6$
Then $a_{n+1} = {a_n + 6 \over 2} \lt {6 + 6 \over 2} = 6$.
v8archie is offline  
Reply

  My Math Forum > College Math Forum > Calculus

Tags
induction



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Induction sjpriest Real Analysis 6 January 28th, 2014 02:54 PM
induction cool012 Algebra 0 December 1st, 2013 06:37 AM
Induction Tutu Algebra 6 June 20th, 2012 07:30 PM
Induction Tommy_Gun Number Theory 0 January 1st, 1970 12:00 AM
induction OriaG Calculus 0 January 1st, 1970 12:00 AM





Copyright © 2017 My Math Forum. All rights reserved.