Concept explainers
To find: an expression for the nth term of the given arithmetic sequence.
Answer to Problem 6RE
An expression for the nth term of the arithmetic sequence is
Explanation of Solution
Given information:
An sequence is given as
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 sequence.
Both numerator and denominator are forming arithmetic sequences.
Consider dbe the common difference and
Common difference of denominator,
So, the nth term of the arithmetic sequence can be found as
Consider d’be the common difference and
Common difference of denominator,
So, the nth term of the arithmetic sequence can be found as
So, the sequence will have nth term as
Thus, the expression for the nth term 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