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Making a geometric series that converges to a number

  1. Mar 11, 2014 #1
    1. The problem statement, all variables and given/known data

    How do you come up with a geometric series that converges to a number like 2?
    I'm kind of confused on how to work backwards through the problem. If someone could provide me with an example, that would be great!

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 11, 2014 #2

    Dick

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    What do you know about the sum of a geometric series? It's probably not that big of a backward step.
     
  4. Mar 11, 2014 #3

    Simon Bridge

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    You use the formula for the sum to infinity.
     
  5. Mar 12, 2014 #4

    Curious3141

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    Can you think of a geometric series that sums to 1? What happens if you multiply every term by 2?
     
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