Instructions for Fibonacci Sequences

The Fibonacci Sequence is a sequence in mathematics. It has shown up in many areas of mathematics. The basic equation to find any given number in the sequence is Xn = X(n-1) + X(n-2). By using this equation, and setting the first two values of the sequence to be 0 and 1, you are able to find any value within the sequence that you wish.

Things You'll Need

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Instructions

    • 1

      Set the first two values in the sequence to be 0 and 1. They are set this way by definition. The sequence is denoted by Xn, so when n = 0, Xn = 0 and when n = 1, Xn = 1. These values will give enough information to find the rest of the sequence.

    • 2

      Find the next value in the sequence by adding the previous two values. For instance, the third value in the sequence would be 1, which was found by adding 0 and 1. Similarly, the fourth value is 2, found by adding the previous two values of 1 and 1. After finding the first few values, the sequence will look like this: 0 1 1 2 3 5 ...

    • 3

      Determine the n-th value by adding the previous two values. For instance, if you wish to find the seventh value, you would add the sixth and fifth values together. The equation for the Fibonacci Sequence is Xn = X(n-1) + X(n-2).

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