Fibonacci Sequence Calculator

Enter the starting and ending term (n) of the Fibonacci Sequence F_n 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.

Result:

About Fibonacci Sequence Calculator

This calculator will generate sequence of Fibonacci Numbers within the range given by the user. With this Fibonacci Sequence Calculator, you can generate Fibonacci Sequence with up to 100 Fibonacci Numbers. You can enter starting sequence number from 0 to 10,000. So, you do not need to do manual additions to find the Fibonacci numbers up to its 10,000^th term.

Using This Calculator

Follow these steps to generate a Fibonacci number or a sequence of numbers:

Enter n^th term index number of which you have to find the Fibonacci Number or start the sequence with, in the first field Starting Term (n). This field accepts input between 0 to 10,000.
Enter the last term index number of which you have to end the sequence with, in the second field Ending Term (n). This field accepts input between 1 to 10,100. If you do not need a sequence of Fibonacci numbers, then leave this field empty. NOTE: The difference between the ending number and starting number should not be more than 100. I.e. you can generate a sequence with up to 100 terms.
Finally press the Generate Fibonacci Sequence button.
The result will be displayed below the button.

Example

If you want to find the Fibonacci Sequence form 100^th term (F₁₀₀) to 200^th term (F₂₀₀), then enter 100 in the Starting Term (n) field and enter 200 in the Ending Term (n) field. Then press the Generate Fibonacci Sequence button.

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Fibonacci Sequences

Fibonacci Sequence or Fibonacci Numbers

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.

Formula

The formula used to generate Fibonacci Number F_n is:

F_n = F_n-2 + F_n-1
where
F₀ = 0 and F₁ = 1 and n > 1

Using The Formula

Let us consider the first term (F₀) in the Fibonacci sequence is 0.
The second term (F₁) in the Fibonacci sequence is 1.
To find the remaining terms, you have to apply the formula (F_n = F_n-2 + F_n-1).
So, F₂ = F₀ + F₁.
i.e. F₂ = 0 + 1 = 1.
Likewise, F₃ = F₁ + F₂.
i.e. F₃ = 1 + 1 = 2.
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.

Reference

About Fibonacci series in wikipedia.org

Calculation Time: 0 Sec

Page Last Modified On: Apr 22, 2021

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