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    I have a series that I think might be a Maclaurin one, but I'm not sure:

    1/4 - 1/(2(4^2)) + 1/(3(4^3)) - ..... + ( (-1)^(k+1) )/(k(4^k))

    And I have to find it's sum. Does anyone know where to start? I'm not even sure how to get the general term of the sequence.

    Please help!

    Thanks in advance
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    You've already been given the general term of the sequence.. it's ( (-1)^(k+1) )/(k(4^k))

    And you're right, it is a maclaurin one, so why not compare it to some series for some common functions, and see if you can spot which it might be related to
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    You've already written the form of the general term?

    All I can suggest for this is look at the list of Maclaurin series on this page: http://en.wikipedia.org/wiki/Taylor_series and try to spot which one to use.
 
 
 
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