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Math Help - fibonacci sequence

  1. #1
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    fibonacci sequence

    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
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  2. #2
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    Do a web search for "fibonacci sequence."
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  3. #3
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    The numbers known as Fibonacci numbers form a series defined by:





    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.
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  4. #4
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    Information about Fibonacci numbers

    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.
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