Concept explainers
To find: the 7th termof the arithmetic sequence for given first two terms.
. Verify the result graphically.
Answer to Problem 45E
The 7thterm of the arithmetic sequence is
Explanation of Solution
Given information:
An sequence is given with first term
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 first and second term of the sequence.
Consider dbe the common difference.
The common difference can be found by subtracting first term from second term.
Now, the 7th term will be
So, the nth term of the arithmetic sequence can be found as
Thus, the expression for the nth term of the arithmetic sequence is
Use the table feature of graphing utility to find the 7th term of sequence by using following steps:
Press MODE key, select Seq in the fourth line and hit Enter
Press
Set the table by pressing TBLSET and then press TABLE,
1 | |
2 | |
3 | |
4 | |
5 | |
6 | |
7 | |
8 | |
9 | |
10 |
Hence, the result is verified.
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