Rabbits Puzzle

Algebra Level 2

There once was a man who put a pair of special rabbits that will never die in a particular place entirely surrounded by walls. Assume that the nature of these special rabbits is that each month, each pair bears a new pair that becomes productive from the second month onwards? How many pairs of rabbits will be produced by the end of a year?


The answer is 144.

Rui Chang Lu by Rui Chang Lu , 15, Oman

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2 solutions

Jordan Cahn
Jan 28, 2019

This is the Fibonacci sequence! Each month, we take the number of rabbit pairs alive last month and add in the number of baby rabbits. But the number of baby rabbits is one for every pair of rabbits alive two months ago! So we are just adding the number of rabbit pairs last month to the number of pairs two months ago.

There are 12 months in the year, and the 12th Fibonacci number is 144 \boxed{144} .

1 Helpful 1 Interesting 0 Brilliant 0 Confused
Liam Groen
Oct 7, 2019

To explain it in an easy way, the whole problem is about squaring the number. If two rabbits make another two rabbits which goes on for a year, you can just calculate 12 (the months in a year) to the power of 2 (12²), which will equal |144|

0 Helpful 0 Interesting 0 Brilliant 0 Confused

I like it Liam, but it's called Fibonacci numbers :)

Rui Chang Lu - 1 year, 8 months ago

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