Thus, after the ball hits the floor for the first time, it rises to a height of 15() = 9.375 feet, etc. (Assume g = 32ft/s and no air resistance.) A. Find an expression for the height, in feet, to which the ball rises after it hits the floor for the nth time: hn = B. Find an expression for the total vertical distance the ball has traveled, in feet, when it hits the floor for the first, second, third and fourth times: first time: D =

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.CT: Chapter Test
Problem 4CT
icon
Related questions
Topic Video
Question

im so confused with geometric sequences

A ball is dropped from a height of 15 feet and bounces. Suppose that each bounce is 5/8 of the height of the bounce before.
Thus, after the ball hits the floor for the first time, it rises to a height of 15() = 9.375 feet, etc. (Assume g = 32ft/s? and no air
resistance.)
A. Find an expression for the height, in feet, to which the ball rises after it hits the floor for the nth time:
hn =
B. Find an expression for the total vertical distance the ball has traveled, in feet, when it hits the floor for the first, second, third
and fourth times:
first time: D =
second time: D =
third time: D =
fourth time: D =|
C. Find an expression, in closed form, for the total vertical distance the ball has traveled when it hits the floor for the nth time.
Dn =
Transcribed Image Text:A ball is dropped from a height of 15 feet and bounces. Suppose that each bounce is 5/8 of the height of the bounce before. Thus, after the ball hits the floor for the first time, it rises to a height of 15() = 9.375 feet, etc. (Assume g = 32ft/s? and no air resistance.) A. Find an expression for the height, in feet, to which the ball rises after it hits the floor for the nth time: hn = B. Find an expression for the total vertical distance the ball has traveled, in feet, when it hits the floor for the first, second, third and fourth times: first time: D = second time: D = third time: D = fourth time: D =| C. Find an expression, in closed form, for the total vertical distance the ball has traveled when it hits the floor for the nth time. Dn =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Sequence
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell