Concept explainers
To find:The100th partial sum of given arithmetic sequence.
Answer to Problem 70E
The100th partial sum of the given arithmetic sequence is
Explanation of Solution
Given information:
An arithmetic 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
Sum of an arithmetic finite sequence has the form
Here, n is number of terms,
Calculation:
Consider the given sequence.
Number of term for the required sumis indicated as 100.
So, the 100th partial sum is calculated as
Thus, the 100th partial sum of the given 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