To find whether the sequence associated with
Answer to Problem 90E
The given sequence is an arithmetic sequence.
The common difference of the arithmetic sequence is
Explanation of Solution
Given information:
An sequence associated with the seriesas
Concept used:
An arithmetic sequence of n terms, has the form
That is
Common difference can be defined by d .
nth term of the arithmetic sequence has the form
Where
Calculation:
Now, consider the given series.
The terms of the sequence can be found as
Now, the difference can be calculated as shown:
Now, the differences for each two consecutive terms are as
Therefore, differences are common for each two consecutive terms of the sequence.
So, it is an arithmetic sequence.
And, the common difference of the arithmetic sequence is
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