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The Fibonacci Sequence

The Fibonacci Sequence is named after Leonardo Fibonacci, an Italian mathematician who introduced the sequence to the Western world in his book Liber Abaci, which was published in 1202.

The Golden Ratio

The Fibonacci Sequence is a series of numbers in which each number is the sum of the two preceding numbers. The sequence starts with 0 and 1, and the next number in the sequence is the sum of the previous two numbers (0 + 1 = 1, 1 + 1 = 2, 1 + 2 = 3, 2 + 3 = 5, and so on).

Mathematics, science, and nature

The Fibonacci Sequence has many interesting properties and applications in mathematics, science, and nature. For example, the ratio of two consecutive numbers in the sequence approaches the golden ratio, which is a mathematical constant that appears in many natural phenomena such as the spiral patterns of shells and the branching patterns of trees.

Mathematical constant

The golden ratio is a mathematical constant that appears in many natural phenomena and has been used in art, architecture, and design for thousands of years. It is often denoted by the Greek letter phi (φ) and has a value of approximately 1.61803398875.