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Math Help - Summation notation of a Taylor seires

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    Summation notation of a Taylor seires

    I have expanded the taylor series of sin(x) about pi/4 and I am trying to write it in summation notation. However, i can't figure out the expression for the sign of each term. The sign of the terms are ++--++--++--.... i can't figure out how to write this as (-1)^power so that it forms this pattern.
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    Quote Originally Posted by beachbump View Post
    I have expanded the taylor series of sin(x) about pi/4 and I am trying to write it in summation notation. However, i can't figure out the expression for the sign of each term. The sign of the terms are ++--++--++--.... i can't figure out how to write this as (-1)^power so that it forms this pattern.
     \displaystyle \sum\limits_{n = 0}^\infty  {\left( { - 1} \right)^{\left\lfloor {\frac{n}{2}} \right\rfloor } a_n }
    That gives ++--++--\cdots

    You may have to adjust the index and/or exponent.
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