Jump to content
BrainDen.com - Brain Teasers
  • 0

SBT Fraction


BMAD
 Share

Question

8 answers to this question

Recommended Posts

  • 0

hint

Hidden Content

modified Stern-Brocot Tree to third sequence.
3rd sequence  34/55   157/254  123/199 212/343  89/144  233/377  144/233  199/322 55/89

since it use fibbonaci number, which is relatively prime, so the fraction is already in simple form.

so there is no fraction with 55<b<89 

Link to comment
Share on other sites

  • 0

An observation without an explanation

Hidden Content

maybe this have something to do with math golden ratio, 
which it close to 1.6180339887...

2/3 = 1.5
3/5 = 1.6666....
5/8 = 1,6
8/13 = 1.623
.....
144/233 = 1.618055556....
233/377 = 1.618025751....

Edited by jasen
Link to comment
Share on other sites

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.

Guest
Answer this question...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

Loading...
 Share

  • Recently Browsing   0 members

    • No registered users viewing this page.
×
×
  • Create New...