Tool to compute numbers of Fibonacci. Fibonacci sequence is a sequence of integers, each term is the sum of the two previous ones.

Fibonacci Numbers - dCode

Tag(s) : Series

dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!

A suggestion ? a feedback ? a bug ? an idea ? *Write to dCode*!

> [**News**]: Discover the next version of dCode Fibonacci Numbers!

Sponsored ads

Tool to compute numbers of Fibonacci. Fibonacci sequence is a sequence of integers, each term is the sum of the two previous ones.

Numbers from the Fibonacci sequence are equal to the addition of the 2 previous terms, they follow the recurrence formula: $$ F(n+2) = F(n) + F(n+1) $$

To initiate the sequence, by default, the two first terms are \( F(0) = 0 \) and \( F(1) = 1 \)

Example: F2 = F0+F1 = 0+1 = 1

F3 = F1+F2 = 1+1 = 2

F10 = F8+F9, etc.

Fibonacci numbers are:

F(0)= | 0 |
---|---|

F(1)= | 1 |

F(2)= | 1 |

F(3)= | 2 |

F(4)= | 3 |

F(5)= | 5 |

F(6)= | 8 |

F(7)= | 13 |

F(8)= | 21 |

F(9)= | 34 |

F(10)= | 55 |

For the next Fibonacci terms, use the calculator above.

The rabbits' problem is a problem proposed by Leonardo Fibonacci in 1200.

There is a rabbit couple (male + female) and every month a couple breeds and give birth to a new pair of rabbits which in turn can reproduce itself after 2 months. How many rabbits will be born after X months?

In the beginning there is 1 couple then

1 month | 1 couple |

two months | 2 couples |

three months | 3 couples |

4 months | 5 couples |

5 months | 8 couples |

6 months | 13 couples |

7 months | 21 couples |

8 months | 34 couples |

Each month, the total number of rabbits is equal to the sum of the numbers of the previous two months because it is the number of existing rabbits (the previous month) plus the number of babies born from rabbits couples who have at least two months (hence the number of rabbits 2 months ago). The numbers found are the numbers of the Fibonacci sequence.

dCode retains ownership of the source code of the script Fibonacci Numbers online. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, Matlab, etc.) which dCode owns rights will not be given for free. To download the online Fibonacci Numbers script for offline use on PC, iPhone or Android, ask for price quote on contact page !

fibonacci,sequence,leonardo,rabbit,number

Source : https://www.dcode.fr/fibonacci-numbers

© 2019 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaches. dCode

Feedback

> [

News]: Discover the next version of dCode Fibonacci Numbers!