Fibonacci series

views updated May 21 2018

Fibonacci series A sequence of numbers in which each number is the sum of the two preceding numbers, e.g. 0,1,1,2,3,5,8,…

The Fibonacci numbers Fn are formally defined to be F0 = 0, F1 = 1, Fn+2 = Fn+1 + Fn, n ≥ 0

Any positive number m can be represented uniquely as a sum of Fibonacci numbers, where the greatest Fn in the expansion does not exceed m and where no two of the Fn are adjacent numbers in the Fibonacci series.

Fibonacci series

views updated May 29 2018

Fibonacci series. See number systems.