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[The Rabbit Problem]
[The Rabbit Problem Proof]
[Binet's Formula]
[Binet's Formula In Action]
[The Successor Formula]
[The Successor Formula In Action]
[Binomial Form]
[Binomial Form In Action]
[Fibonacci Spiral]
[Fibonacci Spiral In Action]

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The Successor Formula

Enter a Fibonacci number into the calculator below to find the next value in the Fibonacci Series calculated with the Successor Formula.
Fibonacci Number x :
Next Fibonacci Number f(x) :

Lets say that we want to calculate the value of the Fibonacci number that comes after 8. For this, we use the Successor Formula:

In order to find the Fibonacci number that comes after 8, we plug 8 into the Successor Formula.

This equation then reduces as follows:

So according to the Successor Formula, the Fibonacci term that comes after 8 is 13. See if it is correct by writing out the first few terms of the series.


[GO to 'The Successor Formula'] [This page is 'The Successor Formula In Action'] [GO to 'The Binomial Form']

Random Fibonacci number from the 1st through the 200th:

 

All contents, unless otherwise specified, are © 1999 by Matt Anderson, Jeffrey Frazier, and Kris Popendorf.
Created by Team 27890 for the 1999 [ThinkQuest] competition.