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) $h _ { n } = \left( 14 \frac { 5 } { 2 } \right) ^ { n }$

Question

Quizplus · Accepted Answer

The height of the nth rebound is found by multiplying the initial height by the rebound ratio raised to the power of n, which is represented by $14 \left( \frac { 2 } { 5 } \right) ^ { n }$.

A Ball Is Dropped from a Height of 14 Feet 25\frac { 2 } { 5 }52​

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