Question

A bouncing ball reaches a height of 54 inches at its first peak, 36 inches at its second peak, and 24 inches at its third peak. Which formula represents this scenario

Answer 1

On E2020 it's f(x) = 54(2/3)^x- 1

Answer 2

36/54=2/3
36/24=2/3

so each time it bounches 2/3 or what it bounced before

seems to be a geometric sequence
an=a1r^(n-1)
a1=first term
r=common ratio
a1=54
common ratio is 2/3
an=54(2/3)^(n-1)