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What is the "Fibonacci Sequence"?

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Chad

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Answer

The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, starting from 0 and 1.

Explanation

The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones, usually starting with 0 and 1. In mathematical terms, the sequence F(n) is defined by the recurrence relation: F(n) = F(n-1) + F(n-2) with initial conditions: F(0) = 0, \quad F(1) = 1 The sequence begins: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so forth. Each new term in the Fibonacci sequence is generated by adding the previous two terms. So, the third number (1) is the sum of the first two numbers (0 and 1), the fourth number (2) is the sum of the second and third numbers (1 and 1), and so on.

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