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Why do the Fibonacci numbers appear as the number of rabbits in the field each month?

April 26, 2017appear fibonacci field Formula formulae formulas month Numbers rabbits

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Why do the Fibonacci numbers appear as the number of rabbits in the field each month?

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If we let f(n) mean “the number of pairs of rabbits in the field at the start of the n-th month”, we will show that f(1)=1, f(2)=1 and f(n)=f(n-1)+f(n-2) which is exactly the definition of the Fibonacci numbers (which also have f(0)=0).