Concept explainers
(a)
To find: The required arithmetic sequence.
(a)
Answer to Problem 92E
The points lie on a line in the graph so the sequence is arithmetic.
Explanation of Solution
Given:
The given graph of the sequence is shown in Figure 1
Figure 1
Calculation:
From the given graph the sequence is
The sequence and the graph shows that he point lie on the line thus, the sequence is arithmetic sequence.
(b)
To Prove: The common difference is two.
(b)
Explanation of Solution
Given:
The given graph of the sequence is shown in Figure 1
Figure 1
Calculation:
Consider the general formula for the arithmetic sequence is,
Then,
Hence, Proved.
(c)
To Prove: The first term of the sequence is
(c)
Explanation of Solution
Given:
The given graph of the sequence is shown in Figure 1
Figure 1
Calculation:
From the graph shown in Figure 1 it is clear that the first term of the sequence is
Hence, Proved.
Chapter 8 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- 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