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Math Help - Series Questions

  1. #1
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    Series Questions

    Find the least value of n for which Sn>10000 for the sequence {3,6,12...}

    and

    A ball is dropped from a height of eight feet. The ball bounces to 80% of it's previous height of each bounce. How high (to the nearest tenth of a foot) does the ball bounce on the fifth bounce?

    How do I solve these?
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  2. #2
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    Re: Series Questions

    Quote Originally Posted by Diesal View Post
    Find the least value of n for which Sn>10000 for the sequence {3,6,12...}

    and

    A ball is dropped from a height of eight feet. The ball bounces to 80% of it's previous height of each bounce. How high (to the nearest tenth of a foot) does the ball bounce on the fifth bounce?

    How do I solve these?
    The first is a geometric series with a = 3 and r = 2. How would you evaluate the sum of the first n terms?

    For the second, it's a geometric series with a = 1 and r = 0.8. How would you evaluate the sixth term? (the fifth bounce is the sixth term because after bounce 1 it's at 80% of the original height.)
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  3. #3
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    Re: Series Questions

    For the first one I have to find the series number that is greater than 10000?

    So, 10000/3=2^n then find the log of both sides, and round to the next whole number?

    And the second:
    8(.8)^(6-1)?
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