Question

A bouncing ball reaches a height of 27 feet at its first peak, 18 feet at its second peak, and 12 feet at its third peak. Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak.

Answer 1

notice any common ratios or differences between the terms? if not, try dividing

second term/first term
and third term/second term

to find the common ratio

from there, set up the sequence rule:

(initial value)(common ratio)^(n-1)

and plug in n = 4 to find the height on the fourth bounce