Enter the starting and ending term (n) of the Fibonacci Sequence * F* and press Generate Fibonacci Sequence button.

**NOTE:**

- This calculator can generate Fibonacci Numbers up to its 10,000
^{th}term. - The starting term should not be more than 10,000.
- The difference between the ending number and starting number should not be more than 100.

Fibonacci sequence is a series of numbers in mathematics which follows a specific pattern. Fibonacci numbers are denoted by the term ** F_{n}**. Every number in the Fibonacci sequence is the sum of the preceding Fibonacci numbers. Now, let us see the formula used to generate the Fibonacci Sequence.

The formula used to generate Fibonacci Number **F _{n}** is:

*F _{n}* =

where

- Let us consider the first term (
*F*) in the Fibonacci sequence is 0._{0} - The second term (
*F*) in the Fibonacci sequence is 1._{1} - To find the remaining terms, you have to apply the formula (
*F*=_{n}*F*+_{n-2}*F*)._{n-1} - So,
*F*=_{2}*F*+_{0}*F*._{1}

i.e.*F*= 0 + 1 = 1._{2} - Likewise,
*F*=_{3}*F*+_{1}*F*._{2}

i.e.*F*= 1 + 1 = 2._{3} - Thus, the first 20 terms of the Fibonacci series are 0, 1, 1, 2, 3, 5, 8, 12, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181,... Use the above calculator to generate more Fibonacci sequence.

- About Fibonacci series in wikipedia.org

Calculation Time: 0 Sec

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Page Last Modified On:** Apr 22, 2021 **

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