Concept explainers
(a)
To write: the first six terms of the sequence.
(a)
Answer to Problem 148E
The first six terms are given by 1, 2, 3, 4, 5, and 6.
Explanation of Solution
Given information:
The graph represents the first six terms of a sequence.
Calculation:
From the above graph the first six terms of a sequence are nothing but the second
Coordinates of the points taken in order as shown below
Terms | |||
1 | 1st term | ||
2 | 2nd term | ||
3 | 3rd term | ||
4 | 4th term | ||
5 | 5th term | ||
6 | 6th term |
Thus, the first six terms are given by 1, 2, 3, 4, 5, and 6.
(b)
To write: an expression for the apparent
(b)
Answer to Problem 148E
The expression for the apparent
Explanation of Solution
Given information:
The graph represents the first six terms of a sequence.
Calculation:
Here,
The expression for the apparent
(c)
To represent: the partial sum of the first 50 terms of the sequence.
(c)
Answer to Problem 148E
The sigma notation to represent the partial sum of the first 50 terms of the sequence is given by
Explanation of Solution
Given information:
The graph represents the first six terms of a sequence.
Calculation:
The
Now represent the above partial sum by using sigma notation as
Replace,
Then,
Thus, the sigma notation to represent the partial sum of the first 50 terms of the sequence is given by
Chapter 8 Solutions
Precalculus with Limits: A Graphing Approach
- 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