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Math Help - Series Help

  1. #1
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    Series Help

    Hey I need help with the following problem:

    the series from n=1 to infinity of 12/[(-5)^n)

    I know it is a geometric series, and that c=12/-5 and r=-1/5, but i don't understand why

    Thanks for the help
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  2. #2
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    Quote Originally Posted by luckeyduck View Post
    Hey I need help with the following problem:

    the series from n=1 to infinity of 12/[(-5)^n)

    I know it is a geometric series, and that c=12/-5 and r=-1/5, but i don't understand why

    Thanks for the help
    \sum_{n=1}^{\infty}\frac{12}{(-5)^n}=12\sum_{n=1}^{\infty}\left( -\frac{1}{5}\right)^n

    Does this help?
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