All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers > Sequences
All rational numbers in (Posted on 2016-08-26) Difficulty: 3 of 5
The infinite sequence is defined as follows:
a1=1
for n ≥ 1, a2n= an+1
a2n+1=1/ a2n

Prove that every positive rational number occurs in the sequence exactly once.

No Solution Yet Submitted by Ady TZIDON    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: From N/D to n @ jer & Charlie | Comment 5 of 10 |
(In reply to From N/D to n by Jer)

      Erased             by              the    author.

Edited on August 29, 2016, 5:10 pm
  Posted by Ady TZIDON on 2016-08-29 02:09:51

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (22)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information