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

question 37

Multiple Choice

A ball is dropped from a height of 11 feet and bounces.Each bounce is $\frac{2}{3}$ 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 n^th time.

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

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