Connect with a community of experts and enthusiasts on IDNLearn.com. Join our knowledgeable community and get detailed, reliable answers to all your questions.
Sagot :
Using a geometric sequence, it is found that the height of the 7th bounce of the ball would be of 0.4 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:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem, the first bounce is 3.25 feet and each successive bounce is 71% of the previous bounce's height, hence the first term and the common ratio are given, respectively, by:
[tex]a_1 = 3.25, q = 0.71[/tex]
Hence, the height of the nth bounce is given by:
[tex]a_n = 3.25(0.71)^{n-1}[/tex]
Then, the height of the 7th bounce in feet is of:
[tex]a_7 = 3.25(0.71)^6 = 0.4[/tex]
More can be learned about geometric sequences at https://brainly.com/question/11847927
#SPJ1
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.
