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Ontario Mathematics Olympiad

Sample Question #4

NOTE: This was an event for two students.

Leonardo Pisano Fibonacci 12th Century Italy

A certain man put a pair of rabbits in a place surrounded on all sides by a wall. How many rabbits can be produced from that pair in a year, if it is supposed that every month each pair of rabbits begets a new pair that from the second month on becomes productive?

Start with: 1, 1, 2, 3, ...