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Thursday, January 19, 2006

Last Post



The time has come for the last entry prior to the exams, the unit swept by fast if you look at it now same goes for the course. This unit was alright, not much but what intrigued me was fibonacci sequence, how various species divided such as the rabbits. This unit was however a good way to end the course because it was not to hard. What I learned that i thought was cool was the forumla for finding differnt numbers in the sequence as it might help some bit if taken with science. Maybe last day someone can bring a digi cam and take a picture of the whole class? That would be cool for those who would miss it. GL and HF on the test tomorrow.

4 Comments:

At 1/23/2006 11:16 PM, Blogger Bill Kerr said...

hi Ndrew,

I'm not sure what you mean by fibonacci series and the rabbits - could you explain that a bit more for me?

 
At 1/27/2006 7:40 AM, Blogger Ndrew said...

Google is your friend:
www.google.ca
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
http://www.google.ca/search?hl=en&q=fibonacci+sequence&spell=1

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

http://www.jimloy.com/algebra/rabbits.gif

[quote]Now let's consider hypothetical rabbits. Let's say we start with two rabbits. After a time, they produce two new rabbits. Then after a time, these four rabbits (ignoring the laws against incest) produce four more rabbits, etc. The number of rabbits at any given time is the sequence 2, 4, 8, 16, 32, ... (or 21, 22, 23, 24, 25, ...). This is called exponential growth. Now let's say that after our rabbits are born, they are too young to produce more rabbits right away. They have to skip a time period before they start producing pairs of rabbits. Here is a diagram:

Fibonacci rabbitsAs you can see, the number of pairs, as time goes on, is the Fibonacci sequence. These rabbits are the famous Fibonacci Rabbits. You can see that this sequence is related to exponential growth. This sequence grows somewhat slower than the doubling shown above. In fact, instead of 21, 22, 23, 24, 25, ..., we can approximate our Fibonacci rabbit population with this series (as we saw above): ø0, ø1, ø2, ø3, ø4, ø5, ... And that is exponential growth.

It may be that theorizing about these rabbits is how Fibonacci came up with the concept of Fibonacci numbers.[/quote]

I hope that helps.

 
At 2/11/2006 2:26 AM, Blogger Bill Kerr said...

thanks Ndrew,

I visited your link to the diagram which was good - now I know a practical real life example of fibonacci series which I didn't know of before - so thanks for that :-)

 
At 2/16/2006 8:04 AM, Blogger iNdrew said...

No sweat.

 

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