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**hempy****Member**- Registered: 2012-11-06
- Posts: 2

Start with 2 baby rabbits, 1 male and 1 female. These baby rabbits became adult rabbits the next month. The month after that they produce a pair (one male, one female) of baby rabbits. Now in each subsequent month, each pair of baby rabbits reaches adulthood and each pair of adult rabbits produces a new pair(one male, one female) of baby rabbits.

Hence, the Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21,...

Question: How many pairs of rabbits will there be after n months?

Explain why the answer is F(subn).

Any help would be much appreciated.

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,647

hi hempy

Welcome to the forum.

You should find all you need here:

http://www.maths.surrey.ac.uk/hosted-si … ibrab.html

There are also some good poages on the MIF site:

http://www.mathsisfun.com/numbers/fibon … uence.html

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 91,495

Hi;

Welcome to the forum. To get Fn you must be able to solve the recurrence for the Fibonacci sequence. You can use the characteristic polynomial to do that.

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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