Definition of Fibonacci series in English:

Fibonacci series

(also Fibonacci sequence)

Pronunciation /fēbəˈnäCHē ˈsirēz/ /fibəˈnɑtʃi ˈsɪriz/


  • A series of numbers in which each number (Fibonacci number) is the sum of the two preceding numbers. The simplest is the series 1, 1, 2, 3, 5, 8, etc.

    ‘These General Fibonacci series are called the G series but the Fibonacci series and Phi again play a prominent role in their mathematical properties.’
    • ‘Kees van Prooijen of California has used a similar series to the Fibonacci series - one made from adding the previous three terms, as a basis for his art.’
    • ‘This triangle has an elementary use in probability and combinatorics, and both the series of triangular numbers and the Fibonacci series can be derived from it.’
    • ‘He had written about Binet's formula in 1730 and had indeed found a method for finding formulae for any general series of numbers formed in a similar way to the Fibonacci series.’
    • ‘Hey turns to Venn Diagrams, Fibonacci series, and fractals to remind us that although we have reached a sort of sophistication in our classification schemes, our progress may be illusory.’