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Math Help - Geometric Sequence word problem

  1. #1
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    Exclamation Geometric Sequence word problem

    Been having trouble with this one we are expected to use the sum geometric sequences formula to solve, the answer provided is 91.7m, when I calculate it I got an answer of 92.63m . I don't know if I'm right or the answer provide is right as there have been a few mistakes in the booklet.

    A tennis ball is dropped from the top of a building 50m above a paved road. In each bounce the ball reaches a vertical height that is 30% of the previous vertical height.Determine the total distance that the ball has traveled when it has contacted the road for the fourth time.


    Thanks for any help.
    Last edited by nightrider456; February 27th 2010 at 10:15 PM.
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  2. #2
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    Quote Originally Posted by nightrider456 View Post
    Been having trouble with this one we are expected to use the sum geometric sequences .

    A tennis ball is dropped from the top of a building 50m above a paved road. In each bounce the ball reaches a vertical height that is 30% of the previous vertical height.Determine the total distance that the ball has traveled when it has contacted the road for the fourth time.


    Thanx for any help.
    50 + 2 \cdot 50(0.3) + 2 \cdot 50(0.3)^2 + 2 \cdot 50(0.3)^3

    can you finish?
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