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Math Help - A simple Sequence

  1. #1
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    A simple Sequence

    Question: Find a formula for the sequence in terms of "n"

    {5,1,5,1,5,1,...}

    This sequence looks pretty straight forward, I mean its easy see the pattern. However, I just cant seem to come up with a formula that would work for any number "n". This is is bugging me...lol

    thanks, -matt
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  2. #2
    Super Member wingless's Avatar
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    a_n = 3 - 2(-1)^n
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  3. #3
    Super Member wingless's Avatar
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    After posting that answer, I saw that we can generalize this as a rule

    a_n = {a,b,a,b,a,b,....}

    a_n = \frac{a+b}{2} - \frac{a-b}{2}(-1)^n
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