# Fibonacci Sequence Calculator

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

NOTE:

• This calculator can generate Fibonacci Numbers up to its 10,000th 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:

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 10,000th term.

### Using This Calculator

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

1. Enter nth 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.
2. 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.
3. Finally press the Generate Fibonacci Sequence button.
4. The result will be displayed below the button.

#### Example

If you want to find the Fibonacci Sequence form 100th term (F100) to 200th 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.

## 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 Fn. 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 Fn is:

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

#### Using The Formula

1. Let us consider the first term (F0) in the Fibonacci sequence is 0.
2. The second term (F1) in the Fibonacci sequence is 1.
3. To find the remaining terms, you have to apply the formula (Fn = Fn-2 + Fn-1).
4. So, F2 = F0 + F1.
i.e. F2 = 0 + 1 = 1.
5. Likewise, F3 = F1 + F2.
i.e. F3 = 1 + 1 = 2.
6. 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

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