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.
To determine the height of the ball when it reaches its fourth peak, we can create a sequence based on the decreasing heights of the peaks.
Sample Response: 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.
What did you include in your response? Check all that apply.
There is a common ratio between bounce heights.
Multiply 12 by 2/3.
The height on the fourth bounce is 8 feet.
To determine the height of the ball when it reaches its fourth peak, we can create a sequence based on the decreasing heights of the peaks.
Sample Response: 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.
What did you include in your response? Check all that apply.
There is a common ratio between bounce heights.
Multiply 12 by 2/3.
The height on the fourth bounce is 8 feet.
Answers
GPT 3.5
There is an arithmetic progression between bounce heights.