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23 Breeding rabbits Fibonacci posed the following problem Suppose that rabbits live forever and that...

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Calculus

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23 Breeding rabbits Fibonacci posed the following problem Suppose that rabbits live forever and that every month each pair produces a new pair which becomes reproductive at age 2 months If we start with one newborn pair how many pairs of rabbits will we have in the nth month Show that the answer is F the nth term of the Fibonacci sequence defined in Example 4

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