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Math Help - Geometric Series

  1. #1
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    Geometric Series

    HI, pls help!

    Okay my ques is how....
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  2. #2
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    Re: Geometric Series

    \displaystyle \begin{align*} \frac{1}{2} \left( - \frac{1}{2} \right) ^{n - 1} &= \frac{1}{2} \left( -1 \cdot \frac{1}{2} \right) ^{n - 1} \\ &= \frac{1}{2} \left( -1 \right) ^{n - 1} \left( \frac{1}{2} \right) ^{n - 1} \\ &= \left( -1 \right) ^{n - 1} \left( \frac{1}{2} \right) ^n \end{align*}
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