A golf ball is manufactured so that if it is dropped from A feet above the ground onto a hard surface, the maximum height of each bounce will be one half of the height of the previous bounce.

Question

 Find an exponential equation that gives the height  the ball will attain during the th bounce.

b. If the ball is dropped from feet above the ground onto hard a surface, how high will it bounce on the th bounce?

On the th bounce, the ball will reach a height of ___feet.

Answer 1

1/2 height of previous bounce

1st bounce = A

2nd = A/2

3rd = A/4

4th = A/8

5th = A/16

6th bounce reaches heigh of A/32

it's a GP with r= 1/2, a1 =A

an = a1r^(n-1)

a6=A.5^5=A/32= 6th term