Fibonacci sequence

From RationalWiki

The Fibonacci sequence is:

0,1,1,2,3,5,8,13,21,34,55,89,...

Each term is obtained by adding the two previous terms (after the arbitrary start of 0,1). The 0 at the beginning is sometimes omitted. It is named after the 13th century Italian mathematician Leonardo of Pisa, also called Fibonacci, though it is known to have been studied in India much earlier. It is a favorite topic of mathematical hobbyists, as well as professional mathematical study.

The n^th term in the Fibonacci sequence is given by,

a_n = a_{n − 1} + a_{n − 2}

for all and a₀ = 0,a₁ = 1.

The ratio of sequential terms converges to the golden ratio of roughly 1.6. Or more formally,

In its early days, RationalWiki theoretically used the Fibonacci sequence to determine the next block interval for ne'er-do-wells, starting at one minute, one hour, or one day, depending on how well they did ne'er. RationalWiki dropped this because some admins are dyscalculic and we felt this discriminated against them.

[edit] See also

• Fun:Fibonacci to the 1000th place - warning, large article, but really cool in a geek sort of way.

[edit] External links

• The Fibonacci Sequence entry at the OEIS - A000045

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