What is the sum of 0.1+ 0.01+ 0.002+ 0.0003+ 0.00005+ 0.000008+ ..., where each term is the nth Fibonacci number, shifted n places to the right (that is, divided by 10^n)?
Using Excel (which is known for its impreciseness when it comes to big numbers):
n sum
1 0.1
2 0.11
3 0.112
4 0.1123
5 0.11235
6 0.112358
7 0.1123593
8 0.11235951
9 0.112359544
10 0.11235955
11 0.11235955
12 0.112359551
13 0.112359551
14 0.112359551
From 12 all the way to 308, it says 0.112359551. Apparently, Excel can't perform 10^309.
I'm not sure what 0.112359551 represents.
Edited on March 9, 2005, 6:54 pm

Posted by Dustin
on 20050309 18:52:04 