What are the next few numbers in the following sequence?

0.1, 0.2, 0.4, 0.7, 1.2, 2.0, 2.13, 2.34, 2.68, 3.23, 4.12, 4.264, ...

Note: the original problem erroneously listed the last term of the sequence as 4.263 - this has been fixed

Sorry, I had thought that was obvious after Armando's comment.

I'm starting at the decimal point, and writing down the digits of the Fibonacci series. Successively adding the generated numbers (0.1, 0.1, 0.2, 0.3, 0.8, 0.13, etc) gives the series up to the last term. As that is the first 3 digit fibonnaci number, that might give you a reason for the divergance. My guess was based on subtracting the hundreds from the 3rd decimal place before adding them into the running total, but with only one datum to go on  we are somehat blundering in the dark.

Posted by Egor on 2005-06-01 00:08:43