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Math Help - Infinite Sequence

  1. #1
    Senior Member mollymcf2009's Avatar
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    Infinite Sequence

    This is a seemingly easy sequence but I cannot for the life of me figure it out:

    Find a formula for the general term a_n of the sequence, assuming the pattern given continues:

    a_n = ?

    { 1, \frac{1}{3}, \frac{1}{9}, \frac{1}{27}, \frac{1}{81} }
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  2. #2
    Like a stone-audioslave ADARSH's Avatar
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    Quote Originally Posted by mollymcf2009 View Post
    This is a seemingly easy sequence but I cannot for the life of me figure it out:

    Find a formula for the general term a_n of the sequence, assuming the pattern given continues:

    a_n = ?

    { 1, \frac{1}{3}, \frac{1}{9}, \frac{1}{27}, \frac{1}{81} }
    a_n = \frac{1}{3^{n-1}}
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  3. #3
    MHF Contributor matheagle's Avatar
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    or as I said {1\over 3^n} for n=0,1,2,3...
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