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Math Help - Evaluate the sum

  1. #1
    Senior Member pankaj's Avatar
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    Evaluate the sum

    1.Find the sum upto first n-terms of the series

    \frac{1}{4}+\frac{1.3}{4.6}+\frac{1.3.5}{4.6.8}+..  ..

    2.Evaluate

    \sum_{n=1}^{\infty}\left(\frac{\tan \frac{\theta}{2^n}}{2^{n-1}\cos \frac{\theta}{2^{n-1}}}\right)
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  2. #2
    MHF Contributor
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    Quote Originally Posted by pankaj View Post
    1.Find the sum upto first n-terms of the series

    \frac{1}{4}+\frac{1.3}{4.6}+\frac{1.3.5}{4.6.8}+..  ..

    2.Evaluate

    \sum_{n=1}^{\infty}\left(\frac{\tan \frac{\theta}{2^n}}{2^{n-1}\cos \frac{\theta}{2^{n-1}}}\right)
    For #1, what do you mean by 1.3.5 and 4.6.8?
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  3. #3
    Math Engineering Student
    Krizalid's Avatar
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    it's a product.
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  4. #4
    MHF Contributor
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    Quote Originally Posted by Krizalid View Post
    it's a product.
    Ok, yeah sorry. The placement of the dot as a period rather than a middle height threw me off.
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