#MathsInMinutes Day 39: The Fibonacci sequence

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The Fibonacci sequence is a simple pattern created by adding two numbers to make a third. Named after the Italian mathematician who introduced it to the West in 1201, it appears in several areas of mathematics, and also in observations of the physical and natural world.

In mathematical terms the sequence is defined as:

The rule results in a chain of numbers beginning:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, …, .

In biology, these numbers are mirrored in the relationship between the twists of a plant stem and the number of leaves along the stem, in the spiral arrangement of sunflower seeds, and in many other naturally-occurring patterns. The Fibonacci sequence is also useful in a range of mathematical contexts, including the solution of Euclids algorithm. It is also linked with the golden ratio.

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