perplexus.info :: Just Math : Fibonacci Fractions

Fibonacci Fractions (Posted on 2005-03-09)

What is the sum of 0.1+ 0.01+ 0.002+ 0.0003+ 0.00005+ 0.000008+ ..., where each term is the n-th Fibonacci number, shifted n places to the right (that is, divided by 10^n)?

See The Solution Submitted by e.g.

Rating: 3.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: What I found

| Comment 5 of 17 |

(In reply to What I found by Hugo)

Solving Hugo's results algebraicly, the sum = 10/89

An odd coincidence, but I don't see the importance beyond this...

Posted by Bryan on 2005-03-09 20:01:31

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (16)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info