Fibonacci sequence

Definitions

1. The sequence of integers, each of which is the sum of the preceding two, the first and second numbers both being 1.
2. Any sequence of numbers such that each is the sum of the preceding two.

Equivalents

6 more languages

ČeštinaFibonacciho posloupnost

SuomiFibonaccin lukujono

Italianosuccessione di Fibonacci

日本語フィボナッチ数列

Русскийпоследовательность Фибоначчи

TürkçeFibonacci dizisi

Examples

“If the Fibonacci sequence is chosen for the quasiperiodic direction of a 1D QC,^([quasicrystal]) it may simply be called a Fibonacci phase.”

“The number⟳ of adult rabbit pairs being present⟳ in consecutive months is then given by the Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21, ... (every term is the sum of its two predecessors). This work⟳ can be seen as the very beginning of mathematical biology, though one has to admit⟳ that the Fibonacci sequence exerts a greater fascination for number⟳ theorists than for reproductive biologists.”

“In a well-known chapter on phyllotaxis, Coxeter (1969) calls the appearance of the Fibonacci sequence in botany a "fascinatingly prevalent tendency," called by Cook⟳ (1914) the "Law of Wiesner." The prevalence of the Fibonacci sequence in phyllotactic patterns is often referred to as “the mystery of phyllotaxis,” and “the bugbear of botanists.””

“The Fibonacci sequence {fₙ} is defined by the following recurrence relation […]”

“Indeed, these pairs belong⟳ to a Fibonacci sequence of what are called Lucas numbers that begins 2, 1, 3, 4, 7, 11,...”

“2007, Anthony Nicolaides, Make⟳ The Grade At GCSE Mathematics, Higher Tier, P.A.S.S. Publications, 3rd Edition, page 169, 19. The first two terms of a Fibonacci sequence are a and b. Write⟳ out a few terms.”

CEFR level