Concept explainers
To find: The geometric sequence that represents height of the ball, recursive formula of the sequence and the height of the ball on the 10th bounce.
Answer to Problem 7.6STP
The required geometric sequence is
Explanation of Solution
Given information: The height from which a ball is dropped is 500 feet. The table that shows the first three bounces.
Bounce | 1 | 2 | 3 |
Height (ft) | 400 | 320 | 256 |
Formula used: The general formula of the geometric series is given by,
Here,
Calculation:
The common ratio of the given terms can be calculated as:
So, the geometric sequence is
The recursive formula for the sequence of height of balls is:
To find the height of the ball at 10th ounce, substitute 10 for
The height of the ball to the nearest tenth is
Therefore, the required geometric sequence is
Chapter ISG Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Additional Math Textbook Solutions
College Algebra
College Algebra (7th Edition)
College Algebra
Linear Algebra and Its Applications (5th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education