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prealgebra junior
Problem
A ball is dropped from a height of meters. On its first bounce it rises to a height of meters. It keeps falling and bouncing to of the height it reached in the previous bounce. On which bounce will it not rise to a height of meters?
(A)
(B)
(C)
(D)
Solution
Each bounce is times the height of the previous bounce. The first bounce reaches meters, the second , the third , the fourth , and the fifth . Half of is , so the ball does not reach the required height on bounce .
Final answer
C