How to Understand the Fibonacci Sequence

Note that the first two numbers in the Fibonacci Sequence are same: 1 and 1.; , Any other number in the Fibonacci Sequence is the sum of the two immediately preceding numbers., In a different situation, say you need to write a particular number of...

4 Steps 1 min read Easy

Step-by-Step Guide

  1. Step 1: Note that the first two numbers in the Fibonacci Sequence are same: 1 and 1.;

    It's that simple! Few examples:
    The 4th number in the Fibonacci Sequence is the sum of the 3rd and 2nd numbers. i.e. 3 = 2 + 1 The 7th number in the Fibonacci Sequence is the sum of the 6th and 5th numbers. i.e. 13 = 8 + 5 The 11th number in the Fibonacci Sequence is the sum of the 10th and 9th numbers. i.e. 89 = 55 + 34 , For example, consider generating first 6 terms of the Fibonacci Sequence.

    The steps are as follows:
    Write the first two terms
    -> 1, 1 Generate the 3rd term by adding the 2nd and 1st terms i.e. 3rd term = 1 + 1 = 2 Generate the 4th term by adding the 3rd and 2nd terms i.e. 4th term = 2 + 1 = 3 Generate the 5th term by adding the 4th and 3rd terms i.e. 5th term = 3 + 2 = 5 Generate the 6th term by adding the 5th and 4th terms i.e. 6th term = 5 + 3 = 8
  2. Step 2: Any other number in the Fibonacci Sequence is the sum of the two immediately preceding numbers.

  3. Step 3: In a different situation

  4. Step 4: say you need to write a particular number of terms in the Fibonacci Sequence.

Detailed Guide

It's that simple! Few examples:
The 4th number in the Fibonacci Sequence is the sum of the 3rd and 2nd numbers. i.e. 3 = 2 + 1 The 7th number in the Fibonacci Sequence is the sum of the 6th and 5th numbers. i.e. 13 = 8 + 5 The 11th number in the Fibonacci Sequence is the sum of the 10th and 9th numbers. i.e. 89 = 55 + 34 , For example, consider generating first 6 terms of the Fibonacci Sequence.

The steps are as follows:
Write the first two terms
-> 1, 1 Generate the 3rd term by adding the 2nd and 1st terms i.e. 3rd term = 1 + 1 = 2 Generate the 4th term by adding the 3rd and 2nd terms i.e. 4th term = 2 + 1 = 3 Generate the 5th term by adding the 4th and 3rd terms i.e. 5th term = 3 + 2 = 5 Generate the 6th term by adding the 5th and 4th terms i.e. 6th term = 5 + 3 = 8

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Kenneth Cooper

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