Concept explainers
(a)
List fractions represents by the pieces.
(a)
Answer to Problem 50PPS
The lists of the fractions are
Explanation of Solution
Given:
In this problem, you will use a square of paper that is at least 8 inches on a side.
Let the square be one unit. Cut away one half of the square. Call this piece Term 1. Next cut away one half of the remaining sheet of paper. Call this piece Term 2. Continue cutting the remaining paper in half and labeling the pieces with a term number as long as possible. List fractions represents by the pieces.
Calculation:
Thus, the lists of the fractions are
(b)
Find the sum of the series.
(b)
Answer to Problem 50PPS
The sum of the series is 1.
Explanation of Solution
Given:
In this problem, you will use a square of paper that is at least 8 inches on a side.
Let the square be one unit. Cut away one half of the square. Call this piece Term 1. Next cut away one half of the remaining sheet of paper. Call this piece Term 2. Continue cutting the remaining paper in half and labeling the pieces with a term number as long as possible. List fractions represents by the pieces.
If you could cut the squares indefinitely, you would have an infinite series. Find the sum of the series.
Concept Used:
Initial is
Calculation:
Now use the formula for sum:
The sum of the series is 1.
Thus, the sum of the series is 1.
(c)
Find how the sum of the series relates to the original square of Paper.
(c)
Answer to Problem 50PPS
The original square has are 1 unit and the area of all pieces cannot exceed 1.
Explanation of Solution
Given:
How does the sum of the series relate to the original square of Paper?
Concept Used:
The original square has are 1 unit and the area of all pieces cannot exceed 1.
Thus, the original square has are 1 unit and the area of all pieces cannot exceed 1.
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
Additional Math Textbook Solutions
Basic Business Statistics, Student Value Edition
University Calculus: Early Transcendentals (4th Edition)
Pre-Algebra Student Edition
Elementary Statistics: Picturing the World (7th Edition)
Algebra and Trigonometry (6th 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