Using a geometric sequence, it is found that the maximum height reached after the 5th bounce is of 43.48 feet.
<h3>What is a geometric sequence?</h3>
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
In which is the first term.
In this problem, the ball is dropped from a height of 101.00 inches onto a hard flat floor, and after each bounce, the height is 19% less, that is, 81% of the previous height, hence the first term and the common ratio are given by:
Then, the height of the nth bounce is given by:
And the height of the 5th bounce is:
The maximum height reached after the 5th bounce is of 43.48 feet.
More can be learned about geometric sequences at brainly.com/question/11847927
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