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Infinite geometric series

  1. Aug 4, 2015 #1
    x+x^2+x^3+x^4.... = 14

    Find x

    Could someone please provide an explanation on how to solve this?
  2. jcsd
  3. Aug 4, 2015 #2


    User Avatar
    Gold Member

    The formula for infinite geometric series is ##\displaystyle \sum_{n=0}^\infty a_n x^n =\frac{a_0}{1-x} ##. But this is true only for ## -1 < x < 1##. Just use this on the series to get an equation in a familiar form.
  4. Aug 6, 2015 #3


    Staff: Mentor

    Same question asked in another thread with the same name, so locking this thread.

    @Niaboc67, please don't start multiple threads on the same topic.
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