Fibonacci Calculator

This Fibonacci calculator is a simple tool designed to help you generate a list of Fibonacci numbers within a specified range. Follow these steps to use it effectively:

1. Specify Range: Enter the starting value (From) and the ending value (To) for the Fibonacci sequence you want to calculate. Ensure that From is less than or equal to To.
2. Calculate: After specifying the range, click the "Calculate" button to initiate the calculation process.
3. View Results: The calculator will generate a list of Fibonacci numbers within the specified range and display them on the output page.

The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones. The formula to calculate the nth Fibonacci number (Fn) is as follows:

Fn = Fn-1 + Fn-2

Here is a reference list of the first few Fibonacci numbers to give you an idea:

This list continues infinitely, with each subsequent number being the sum of the previous two.

The output page of this Fibonacci calculator will display a list of Fibonacci numbers within the specified range (From and To). For example, if you input a range of "From: 5" and "To: 10", the output might look like this:

Fibonacci Sequence from 5 to 10:

5, 8, 13, 21, 34, 55

This Fibonacci calculator works by implementing the Fibonacci formula mentioned earlier. It starts with the initial values F0 = 0 and F1 = 1, then iteratively calculates the Fibonacci numbers within the specified range.

Here's a simple example to illustrate how it works:

Suppose you want to calculate the Fibonacci numbers from 3 to 8:

1. Start with F0 = 0 and F1 = 1.
2. Calculate F2 = F0 + F1 = 0 + 1 = 1.
3. Calculate F3 = F1 + F2 = 1 + 1 = 2.
4. Continue this process until reaching the upper limit specified (in this case, F8 = 21).

Continue this process until reaching the upper limit specified (in this case, F8 = 21).

The calculator then presents the generated sequence as shown in the output page example.