create an example of the Fibonacci sequence and/or the golden ratio describe an visual for the example for I can draw it and write a brief description of how this represents the sequence and/or ratio.
Example of the Fibonacci sequence:
1, 1, 2, 3, 5, 8, 13, 21, 34...
Visual description: Imagine a spiral with squares inside it. Starting with a small square of side length 1, we add another square beside it with the same side length. Then, we extend the sequence by adding squares whose side length is equal to the sum of the two previous squares. Each new square is placed at a 90-degree angle to the previous square, forming a spiral.
Brief explanation: The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones. The squares in the visual representation demonstrate the relationship between successive Fibonacci numbers. As the side lengths of the squares increase according to the sequence, the spiral formed by these squares approaches the "Golden Spiral," which is related to the Golden Ratio. This spiral can be found in numerous natural objects such as the spiral arrangement of seeds in a sunflower or the shape of a nautilus shell.