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 that the next peak is 2/3 * the previous 

so the sequence is 12 , 18 , 12 , 12*2/3 = 8  , 8*2/3 = 16/3  and so on

So the height of the nth peak = 2/3n

Answer 2

Answer:

There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form 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.

Step-by-step explanation: