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Inferring A General Term From A Sequence

  1. Sep 26, 2012 #1
    1. The problem statement, all variables and given/known data
    3, -3/2, 3/4, -3/8,...


    2. Relevant equations



    3. The attempt at a solution
    I began to write, [itex](-1)^{n+1} \frac{3}{...}[/itex], but I began to despair once I came upon the denominator. I know that every term's, except 3, denominator can be written as a power of two, but I wasn't sure on how to account for the 3.
     
  2. jcsd
  3. Sep 26, 2012 #2

    LCKurtz

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    I don't see your problem. You have the alternating sign, the 3, and powers of two. Put them all in your answer.
     
  4. Sep 26, 2012 #3
    So, would it be [itex](-1)^{n+1} \frac{3}{2^{n-1}}[/itex]
     
  5. Sep 26, 2012 #4

    LCKurtz

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    All you have to do is see if it gives your answers for n = 1,2,3,4.
     
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