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## #1 2012-11-06 18:26:23

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

### The Fibonacci Sequence

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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## #2 2012-11-06 19:45:37

bob bundy
Moderator
Registered: 2010-06-20
Posts: 7,743

### Re: The Fibonacci Sequence

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

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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## #3 2012-11-06 20:18:52

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 107,156

### Re: The Fibonacci Sequence

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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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