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A Ball Is Dropped from a Height of 11 Feet 23\frac{2}{3}

Question 37

Multiple Choice

A ball is dropped from a height of 11 feet and bounces.Each bounce is 23\frac{2}{3} of the height of the bounce before.Find an expression for the height to which the ball rises after it hits the floor for the nth time.


A) 11(23) n11\left(\frac{2}{3}\right) \cdot n
B) 11(23) n11\left(\frac{2}{3}\right) ^{n}
C) 11(1(23) n) 11\left(1-\left(\frac{2}{3}\right) ^{n}\right)
D) 11(1(23) n) 123\frac{11\left(1-\left(\frac{2}{3}\right) ^{n}\right) }{1-\frac{2}{3}}

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