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Math Help - Question on Series #3 (Strange terminology)

  1. #1
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    Question on Series #3 (Strange terminology)

    An is a sequence and Snis a sequence of partial sums of the series nΣ1 to infinity of An

    If An is greater than 0 for all N and mΣ1 to infinity of A2m diverges, does An diverge??

    I have no idea what the M and 2m have to do with anything, I'm guessing its just another variable as N has lready been used but I've never seen 2M before (I ave seen N+1)
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  2. #2
    MHF Contributor Bruno J.'s Avatar
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    There is nothing strange about this terminology; maybe you don't understand the summation notation.

    The statement reads : if the sum of the even-labeled terms of the series diverges, and all terms are positive, does the sum of all terms diverge? (What do you think?)
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