Question

A ball is dropped from a height of 30 feet. The ball bounces. After each bounce, the maximum height of the ball is 80% of the previous height. Write an nth term formula to model the situation and approximate the maximum height of the ball after 6 bounces.

Answer 1

max height after 6 bounces


`f(n)=30(0.80)^n`
after 1 bound it is 80% of 30

so f(6) is

`f(6)=30(0.80)^6`
f(6)=7.864

about 7.9ft