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Math Help - Sequence - Converge or Diverge?

  1. #1
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    Sequence - Converge or Diverge?

    Consider the series inf E n=1 (e^n)/(3^(n-1). Does this series converge or diverge? If the series converges, find its sum. Give the exact value and an approximation rounded to three decimal places after the decimal point.

    I just keep going around in circles with this problem.
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  2. #2
    MHF Contributor chisigma's Avatar
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    If You consider that the 'general term' can be written as...

    a_{n}= e\cdot (\frac{e}{3})^{n-1} (1)

    ... You can conclude that it is a 'geometrical series'...

    Kind regards

    \chi \sigma
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