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Fibonacci - College Term Papers

Fibonacci

In mathematics, the Fibonacci numbers are the numbers in the following integer sequence:

0,;1,;1,;2,;3,;5,;8,;13,;21,;34,;55,;89,;144,; ldots; (sequence A000045 in OEIS).

By definition, the first two Fibonacci numbers are 0 and 1, and each subsequent number is the sum of the previous two. Some sources omit the initial 0, instead beginning the sequence with two 1s.

In mathematical terms, the sequence Fn of Fibonacci numbers is defined by the recurrence relation

F_n = F_{n-1} + F_{n-2},!,

with seed values

F_0 = 0 quadtext{and}quad F_1 = 1.

The Fibonacci sequence is named after Leonardo of Pisa, who was known as Fibonacci (a contraction of filius Bonacci, "son ...

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Added: 3/21/2011 06:42:29 PM
Submitted By: quana163
Category: Education
Type: Free Paper
Words: 129
Pages: 1

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