Fibonacci Sequence Calculator

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How many Fibonacci Numbers?

Generate Fibonacci numbers

We can do this two ways:

1) Recursive Algorithm

2) Binet's Formula

Recursive Algorithm:

Fn = Fn - 1 + Fn - 2

where F0 = 0 and F1 = 1

Show Fibonacci Formula:

Use Binet's Formula

Fn = 1/√5(((1 + √5)/2)n - ((1 - √5)/2)n)

Given n = -1, we have:

F-1 = 0.44721359549996 * ((3.2360679774998/2)-1 - (-1.2360679774998/2)-1)

F-1 = 0.44721359549996 * ((1.6180339887499)-1 - (-0.61803398874989)-1)

F-1 = 0.44721359549996 * (0.61803398874989 - -1.6180339887499)

F-1 = 0.44721359549996 * 2.2360679774998

F-1 = 1

You have 1 free calculations remaining

F-1 = 1

What is the Answer?

How does the Fibonacci Sequence Calculator work?

Free Fibonacci Sequence Calculator - Generates a list of the first 100 Fibonacci numbers. Also shows how to generate the nth Fibonacci number using Binet‘s Formula
This calculator has 1 input.

What 1 formula is used for the Fibonacci Sequence Calculator?

Fn = Fn - 1 + n - 2 where F0 = 0 and F1 = 1

For more math formulas, check out our Formula Dossier

What 8 concepts are covered in the Fibonacci Sequence Calculator?

algorithmA process to solve a problem in a set amount of timefibonaccia number, commonly denoted Fn, which form the Fibonacci sequence, in which each number is the sum of the two preceding onesfibonacci sequenceformulaa fact or a rule written with mathematical symbols. A concise way of expressing information symbolically.generatorsoftware algorithm that generates a number that is taken from a limited or unlimited distribution and outputs itnumberan arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.recursive algorithman algorithm which calls itself with smaller (or simpler) input values, and which obtains the result for the current input by applying simple operations to the returned value for the smaller (or simpler) input.sequencean arrangement of numbers or collection or objects in a particular order

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