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 Grows so slow... (Posted on 2005-05-31)
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

 See The Solution Submitted by jduval Rating: 2.0000 (2 votes)

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 No Subject | Comment 7 of 13 |
The Fibonnaci sequence is defined by
f(n) = (phi^n - (1-phi)^n)/sqrt(5)
where phi = (1+sqrt(5))/2.

As 10 = phi^4.7849719668, every four or five terms there will be a new shift of decimal positions.

This would explain the fourier analysis by Larry.

 Posted by Robby Goetschalckx on 2005-06-01 12:17:39

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