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.)

Very interesting, Charlie...

| Comment 9 of 17 |

I wonder how that relates to Phi (1.61803398874989...)

Posted by Erik O. on 2005-03-09 21:09:25

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 (10)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info