The Fibonacci sequence is a series of numbers where each number is the sum of the previous two numbers, starting with 0 and 1. The sequence was first introduced by Italian mathematician Leonardo Fibonacci in the 12th century.
The Fibonacci sequence is significant because it appears in many natural phenomena, such as the branching of trees, arrangement of leaves on a stem, and the spiral patterns on seashells. It also has many applications in mathematics, computer science, and even finance.
The Fibonacci ratio, also known as the golden ratio, is a mathematical ratio of approximately 1.618. It is derived from the Fibonacci sequence by dividing a number by its previous number, and as the sequence progresses, the ratio approaches 1.618.
The Fibonacci sequence is closely related to the golden ratio as the ratio between two consecutive numbers in the sequence gets closer to the golden ratio as the sequence progresses. The golden ratio also has many connections to the Fibonacci spiral, which is a spiral shape that appears in nature and follows the Fibonacci sequence.
The Fibonacci sequence has many practical applications in real life, including in architecture, art, and design. It is also used in financial markets for technical analysis and in computer algorithms for efficient search and sorting. Additionally, scientists use the Fibonacci sequence to model population growth and study the growth patterns of plants and animals.