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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This is a quadratic sequence.
Let the sequence be 27, 18, 12...
It’s quadratic because..
27 18 12 n
9 6 3
3 3
n = 12 - 3 = 9
Therefore the fourth sequence is 9.
Let the sequence be 27, 18, 12...
It’s quadratic because..
27 18 12 n
9 6 3
3 3
n = 12 - 3 = 9
Therefore the fourth sequence is 9.
DeanGD05:
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1
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:
the other answer is also right but this is the sample response (on edgenuity)
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