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Math Help - Question on Series.

  1. #1
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    Question on Series.

    So, I know how to do most series,but I just got handed this on an assignment, and can't for the life of me solve it. Any help is appreciated.

    It's an infinite series, from n=1 to n=infinity.

    And the equation is (2^n + 3^n)/5^n

    What's the sum?

    I'm pretty sure it's... 13/6, just from doing it in Maple, but I can't get that on paper.

    Thanks!
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  2. #2
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    Quote Originally Posted by Jikuim View Post
    So, I know how to do most series,but I just got handed this on an assignment, and can't for the life of me solve it. Any help is appreciated.

    It's an infinite series, from n=1 to n=infinity.

    And the equation is (2^n + 3^n)/5^n

    What's the sum?

    I'm pretty sure it's... 13/6, just from doing it in Maple, but I can't get that on paper.

    Thanks!
    \sum_{n=1}^{\infty} \frac{2^n+3^n}{5^n} = \sum_{n=1}^{\infty} (2/5)^n + (3/5)^n.
    Use geometric series.
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