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Math Help - Help finding an exponential equation...

  1. #1
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    Exclamation Help finding an exponential equation...

    SO for my homework tonight, I got this fractal.

    It starts out as a straight line in stage one
    In stage two, I kind of tents up...

    Stage zero________ Notice it is all one segment
    Stage Two____/\______ This is now Four segments
    Then, both sides of that tent tent up too.

    So first I have to make a table of the first few stages...

    Stage |* |0 |1 |2 |3 |4 |
    segments|1 |4 |16|40|88|

    And now I have to find the equation, but I don't seem to get it enough to do that.... But I think I should know how to find the equation from points by now,
    So I'm asking two questions really...
    A: What is the equation
    B Why?
    Thanks for the urgent help. THis is due tomorrow (!)
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  2. #2
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    Quote Originally Posted by BtimusTtimus View Post
    SO for my homework tonight, I got this fractal.

    It starts out as a straight line in stage one
    In stage two, I kind of tents up...

    Stage zero________
    Stage Two____/\______
    Then, both sides of that tent tent up too.

    So first I have to make a table of the first few stages...

    Stage |0 |1 |2 |3 |4 |
    segments|1 |4 |16|40|88|

    And now I have to find the equation, but I don't seem to get it enough to do that.... But I think I should know how to find the equation from points by now,
    So I'm asking two questions really...
    A: What is the equation
    B Why?
    Thanks for the urgent help. THis is due tomorrow (!)
    recheck your table ... it's ok for stages 0 , 1 , and 2.

    I disagree with the number of segments for stages 3 and 4.
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  3. #3
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    Actually, I've recounted quite a few different times. But I realize that I forgot to add something.....

    In stage three, there are two other tents added, I believe that would mean that there would be an additional two tents added to the next, etc.

    so now my data is....

    Stg 0 | 1| 2| 3| 4
    Seg 1 | 4|16|46|204
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  4. #4
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    you might want to post the complete original problem statement, as it was given to you.
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