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for homework, i need to write a paragraph on the fibonacci sequence. basically i need to entail what's the "deal" about it, what makes it interesting and general info. if you could tell me some basic info, that would be great....i can't be bothered to read through tons of info on google atm.
its not supposed to be long btw. THANK YOU
Do a web search for "fibonacci sequence."
The numbers known as Fibonacci numbers form a series defined by:
http://upload.wikimedia.org/math/4/7...f1881b2051.png
Which says, if you have two starting values, then the next term is the sum of the two previous terms, which gives you the series assuming n starts with zero and you are given a1= 1:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...
The rule is this, when there are two numbers in the sequence known, the rest of them are found by:
nth term = (n-2) term + (n-1) term
Where (n-2) term is the first term defined and the (n-1) term is the second term defined if they are consecutive numbers in the sequence.
The number makes use of the golden ratio phi and is found in many things in nature, from branching trees, to the arrangements of a pine cone.
Faibonacci discovered when observing rabits that they multiplied 1,2,3,5, he noticed that there was a pattern to the numbering if you add the two proceeding numbers you will come up with the next number that you need. Example 1 + 2 = 3, 2 + 3 = 5, the next in line would be 3 + 5 = 8 and so on.
In the same mannor you can figure out this problem.
10, _____, 24, _____, _______, 100, _____, ______, 686
10 + _____ = 24, which is 14
14 +24 = 38
24 + 38 = 62
38 + 62 = 100
62 + 100 = 162
100 + 162 = 262
162 + 262 = 424
262 + 424 = 686
There isn't much to it. If the first number is blank and you need to figure it out you can always use the X, 2X, 3X, etc thing.
If you know the first number and don't the other numbers, suppose the first number is 4 you use:
4, x + 4, X + 4 + 4 or X + 8, X +4 + X + X + 4 or 3X + 8, etc. until you get to a number.