A Ball Is Dropped from a Height of 14 Feet $\frac { 2 } { 5 }$

question 89

Multiple Choice

A ball is dropped from a height of 14 feet, and on each rebound it rises to $\frac { 2 } { 5 }$ its preceding height. Write an expression for the height of the nth rebound.

• A) \(h _ { n } = \frac { \left( \frac { 2 } { 5 } \right) ^ { n } } { 14 }\)
• B) \(h _ { n } = 14 \left( \frac { 2 } { 5 } \right) ^ { n }\)
• C) \(h _ { n } = 14 \left( \frac { 5 } { 2 } \right) ^ { n }\)
• D) \(h _ { n } = \frac { 14 } { \left( \frac { 2 } { 5 } \right) ^ { n } }\)
• E) \(h _ { n } = \left( 14 \frac { 5 } { 2 } \right) ^ { n }\)

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