Fibonacci

Smokestack in Turku, Finland

 

This problem was studied and solved by a famous mathematician, Fibonacci. The numbers of rabbits form the Fibonacci series. This series has important applications in several problems that have nothing to do with rabbits. Call the N'th number in the series fib(N):

Fibonacci Series
N	1	2	3	4	5	6	7	8	9	10
fib(N)	1	1	2	3	5	8	13	21	34	55

Here is the rule for filling the chart, rewritten for fib(N):

fib( N ) = fib( N-1 ) + fib( N-2 )

Look at the chart to verify that the rule works.