Concept explainers
Write two
Answer to Problem 44HP
Figure 1: 6 toothpicks; Figure 2: 8 toothpicks; Figure 3: 10 toothpicks
Explanation of Solution
Given:
Write two different rules that relate the figure number to the number of toothpicks in each figure. Explain how you arrived at your answer.
Concept Used:
Figure 1: 6 toothpicks
Figure 2: 8 toothpicks
Figure 3: 10 toothpicks
The common difference between two consecutive figure is 8 − 6 = 2 toothpicks.
This is an arithmetic sequence.
Calculation:
Explicit formula for Arithmetic sequence:
The first term
Let we find the number of toothpicks in the third figure by using the explicit formula
So, the number of toothpicks in the 3rd figure is 8.
2nd way we can find the number of toothpicks is the Recursive Formula for Arithmetic Sequence.
Recursive formula:
The first term
Let we find the number of toothpicks in the third figure by using the explicit formula
We know that
So, the number of toothpicks in the 3rd figure is 8.
Thus, Figure 1: 6 toothpicks; Figure 2: 8 toothpicks; Figure 3: 10 toothpicks
Chapter 1 Solutions
Glencoe Math Accelerated, Student Edition
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus and Its Applications (11th Edition)
University Calculus: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (4th Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning