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rabbits (Fibonacci's problem)

Fibonacci's problem imagines beginning with a pair of rabbits, which reproduce at a consistent rate: each month, every mature pair produces a new pair. The question is how many pairs of rabbits will exist after a certain number of months. The sequence that models this growth starts with 1 pair, then 1, 2, 3, 5, 8, and so on, where each number is the sum of the two preceding ones. This sequence, known as Fibonacci numbers, illustrates how exponential growth can occur in natural populations, balancing reproduction rates with resource constraints over time.