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

so on the fourth bounce the ball will reach a height of 8 feet

Explanation:

There is a common ratio of 2/3 between the height of the ball at each bounce so the bounce height from a geometric sequence 27,18,12 two-thirds of 12 is 8 so on the fourth bounce the ball will reach a height of 8 feet

Answer 2

27-18 = 9
18-12 = 6
12- n = 3

-n = 3-12
-n = -9 ( cancel the negative sign by simple divide both sides with -1 )
n = 9

Therefore the height of the ball is 9 feet when it reaches fourth peak .