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Math Help - Infinite & Geometric Series

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    Infinite & Geometric Series

    Test the following series for convergence. You must state the test(s) you are using. Where appropriate, discuss conditional and absolute convergence. If a series is geometric, find its sum.
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    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by dietrying97 View Post
    Test the following series for convergence. You must state the test(s) you are using. Where appropriate, discuss conditional and absolute convergence. If a series is geometric, find its sum.
    Well, is this geometric?
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    Quote Originally Posted by Drexel28 View Post
    Well, is this geometric?
    yes it is geometric
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    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by dietrying97 View Post
    yes it is geometric
    So then a series \sum_{n=1}^{\infty}z^n is convergent when.............
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    When the absolute value of |{z}| < 1 then it converges to 0?
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