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A man named Leonardo Pisano, who was known by his nickname, Fibonacci, and named the series after himself, first discovered the Fibonacci sequence around 1200 A.D. The Fibonacci sequence is a sequence in which each term is the sum of the 2 numbers preceding it. The first 10 Fibonacci numbers are: (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89). These numbers are obviously recursive.
Fibonacci's Solution: The Fibonacci Sequence! 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ... So, at the end of the year, there will be 144 pairs of rabbits, all resulting from the one original pair born on January 1 of that year. Each term in the Fibonacci sequence is called a Fibonacci number. As can be seen from the Fibonacci sequence, each Fibonacci number is obtained by adding the two previous Fibonacci numbers together. For example, the next Fibonacci number can be obtained by adding 144 and 89. Thus, the next Fibonacci number is 233.