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Math Help - Iterative calculations

  1. #1
    Junior Member
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    Iterative calculations

    Hey, does anybody know a rule to find the limit of a series based on iterative calculations?
    I mean:

    A = 0,5 B
    B = 3 A

    When the number of iteractions = infinite, what will be the values of A and B?
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  2. #2
    MHF Contributor
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    Re: Iterative calculations

    Quote Originally Posted by Schiavo View Post
    Hey, does anybody know a rule to find the limit of a series based on iterative calculations?
    In mathematics, "series" usually refers to the sum of a sequence of numbers, not a sequence itself.

    Quote Originally Posted by Schiavo View Post
    I mean:

    A = 0,5 B
    B = 3 A
    Do you mean the following recurrence relation?

    A_{n+1}=0.5B_n
    B_{n+1}=3A_n

    In this case, A_{n+2}=(3/2)A_n and B_{n+2}=(3/2)B_n, so both A_n and B_n tend to infinity.
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