Question

A rubber bouncy ball is dropped from a

Answer 1

Using a geometric sequence, it is found that the maximum height reached after the 5th bounce is of 43.48 feet.

What is a geometric sequence?

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:

$a_n = a_1q^{n-1}$

In which $a_1$ 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:

$a_1 = 101, q = 0.81$

Then, the height of the nth bounce is given by:

$a_n = 101(0.81)^{n-1}$

And the height of the 5th bounce is:

$a_5 = 101(0.81)^{5-1} = 43.48$

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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