Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**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.

Offline

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

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

Offline

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

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.**

Offline

Pages: **1**