Jump to content


Welcome to BrainDen.com - Brain Teasers Forum

Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account.
As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends.

Of course, you can also enjoy our collection of amazing optical illusions and cool math games.

If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top.
If you have a website, we would appreciate a little link to BrainDen.

Thanks and enjoy the Den :-)
Guest Message by DevFuse
 

Photo
- - - - -

Number Pattern Game


  • Please log in to reply
7 replies to this topic

#1 BMAD

BMAD

    Senior Member

  • Members
  • PipPipPipPip
  • 1658 posts
  • Gender:Female

Posted 17 July 2013 - 08:23 PM

Pick any positive integer.

 

If you pick an odd positive integer then your next picked number is 3n+1

 

If you pick an even number then your next picked number is n/2

 

Repeat with your picked numbers until you notice something interesting.

 

1. What interesting event happens?

2. Why is it happening?

3. Can you prove your hypothesis in number 2?


  • 0

#2 TimeSpaceLightForce

TimeSpaceLightForce

    Senior Member

  • Members
  • PipPipPipPip
  • 589 posts
  • Gender:Male

Posted 18 July 2013 - 06:25 AM

Spoiler for

 


  • 0

#3 Barcallica

Barcallica

    Junior Member

  • Members
  • PipPip
  • 57 posts
  • Gender:Male
  • Location:Ulaanbaatar, Mongolia

Posted 18 July 2013 - 10:59 AM

Spoiler for You mean?


  • 0

#4 BMAD

BMAD

    Senior Member

  • Members
  • PipPipPipPip
  • 1658 posts
  • Gender:Female

Posted 18 July 2013 - 12:03 PM

Spoiler for You mean?

yes. now we need to answer the last two questions


  • 0

#5 BMAD

BMAD

    Senior Member

  • Members
  • PipPipPipPip
  • 1658 posts
  • Gender:Female

Posted 18 July 2013 - 12:04 PM

Spoiler for

 

If you keep repeating (more than a single recurssion) you should come to the same conclusion as Barcallica.


  • 0

#6 Rainman

Rainman

    Advanced Member

  • Members
  • PipPipPip
  • 143 posts

Posted 18 July 2013 - 07:30 PM

This is a "famous" unsolved problem. The conjecture that every positive integer eventually leads back to 1 is called the Collatz conjecture. We won't be able to prove or disprove it here, sorry :P
  • 0

#7 bonanova

bonanova

    bonanova

  • Moderator
  • PipPipPipPip
  • 5564 posts
  • Gender:Male
  • Location:New York

Posted 18 July 2013 - 07:32 PM

Spoiler for Collatz conjecture


  • 0
The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#8 BMAD

BMAD

    Senior Member

  • Members
  • PipPipPipPip
  • 1658 posts
  • Gender:Female

Posted 18 July 2013 - 08:21 PM

This is a "famous" unsolved problem. The conjecture that every positive integer eventually leads back to 1 is called the Collatz conjecture. We won't be able to prove or disprove it here, sorry :P

:thumbsup: I was hoping the fabulous minds at Brainden could pull together.  Oh well.


  • 0




0 user(s) are reading this topic

0 members, 0 guests, 0 anonymous users