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Math Help - Patterns and relationships

  1. #1
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    Patterns and relationships

    The following sequences have the same rule but different starting values:
    0, 1, 2, 2, 3, 5, 7, 10, 15, 22, 32,
    1, 1, 2, 3, 4, 6, 9, 13, 19, 28, 41,
    a) What are the next three terms in each sequence?
    b) Explain the rule.
    c) What is the relationship between corresponding terms of the two sequences?
    BONUS Prove your answer to c)

    I don't know what to do
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  2. #2
    Member Goku's Avatar
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    Re: Patterns and relationships

    Take 0,1,2:
    0+2=2

    so you have 0,1,2,2:
    1+2=3

    0,1,2,2,3
    2+3=5

    0,1,2,2,3,5 and so on.... Try to explain this..

    You should get:

    x_n=x_{n-1}+x_{n-3}
    Last edited by Goku; May 17th 2012 at 12:03 AM.
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