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.
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Answers
GPT 3.5
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.
The sequence would be: 27, 18, 12,...
Each term in the sequence represents the height of the ball at each peak it reaches. By continuing the pattern of decreasing heights in the sequence, we can predict that the height of the ball at its fourth peak would be 9 feet.
Therefore, by using this sequence, we can determine that the height of the ball when it reaches its fourth peak would be 9 feet.
The sequence would be: 27, 18, 12,...
Each term in the sequence represents the height of the ball at each peak it reaches. By continuing the pattern of decreasing heights in the sequence, we can predict that the height of the ball at its fourth peak would be 9 feet.
Therefore, by using this sequence, we can determine that the height of the ball when it reaches its fourth peak would be 9 feet.