Using a geometric sequence, it is found that:
- The rule for the height of the nth bounce is:

- The height of the fifth bounce is of 9.28 cm.
In a <em>geometric sequence</em>, the quotient between 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:
- Bounces to 65% of the height from which it was dropped, thus the common ratio is of
. - Dropped from 80 cm, thus, the height of the first bounce is
.
Thus, the rule for the height of the nth bounce is:

The height of the fifth bounce is
, thus:

The height of the fifth bounce is of 9.28 cm.
A similar problem is given at brainly.com/question/11847927
Answer:525
Step-by-step explanation:
7(5)^2 * 3 = 525
For this case we have the following expression:

We must find the value of the expression when:

Substituting the values in the expression we have:

Thus, the value of the expression is 2.
Answer:
The value of the expression is 2
Option A
Any expression divided by remains the same, Multiply the numbers, answer is 8




Therefore the answer is B.
Hope this helps !
Photon