THE FIBONACCI SEQUENCE AND THE GOLDEN RATIO || MATHEMATICS IN THE MODERN WORLD

Introduction to Fibonacci00:00:00

An introduction to Leonardo of Pisa, known as Fibonacci, the influential European mathematician who introduced the Arabic number system to Europe.

The Origin of the Fibonacci Sequence00:00:48

Explanation of the sequence's origin based on a mathematical investigation into the reproduction rates of a pair of rabbits over one year.

Defining the Sequence00:02:42

The Fibonacci sequence is defined as a series where the first two terms are 1, and each subsequent term is the sum of the two preceding numbers.

Fibonacci in Nature00:04:09

Examples of how the Fibonacci sequence appears in nature, including the spiral patterns of sunflowers and pine cones, as well as the number of petals on flowers.

The Golden Ratio00:06:25

Introduction to the Golden Ratio, denoted by the Greek letter phi, which is approximately 1.618 and closely related to the Fibonacci sequence.

Calculating Sequence Terms00:07:24

A tutorial on how to calculate specific terms of the Fibonacci sequence, such as finding the 9th and 15th terms using the established pattern.