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Math Help - Series Converge Value

  1. #1
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    Series Converge Value

    Summation from 0 to infinity of (x+9)^n / 8^n.

    Find the values of x for which the series converges.

    Find the sum of the series for those values of x.

    I didn't know how to do this one. I'm pretty lousy as the series/sequence stuff. I rewrote it as [(x+9)/8]^n to make it a geometric series but I don't think that's correct.
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  2. #2
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    I'm not getting the right answer for the second part.

    a=(x+9)/8 , r=(x+9)/8 so I used the a/(1-r) and then multiplied by 8 and got:

    (x+9) / [8-(x+9)] which goes to (x+9) / (-x-1)

    Edit: Nevermind... it's summation 0 to infinity and I kept doing 1. I got it. Thanks!
    Last edited by thegame189; April 2nd 2008 at 06:36 PM.
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