SOLUTION: A ball is dropped from a height of 16ft. On each bounce it rises half of its previous height. when the ball hits the ground for the seventh time how far has it traveled?

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Question 314326: A ball is dropped from a height of 16ft. On each bounce it rises half of its previous height. when the ball hits the ground for the seventh time how far has it traveled?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A ball is dropped from a height of 16ft. On each bounce it rises half of its previous height. when the ball hits the ground for the seventh time how far has it traveled?
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Geometric Series: 16+8+4+2+...
a = 16 ; r = 1/2
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Since 0< r <1,
S(n) = a/[1-r] = 16/(1/2) = 32
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Cheers,
Stan H.