Concept explainers
To find:Thepartial sum
Answer to Problem 71E
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 partial sum.
The above sum can be written as
Now, first term of the finite sequence is
The difference is
It is an arithmetic sequence.
Last term is
Number of term for the required sumis indicated as 50.
So, partial sum is calculated as
Thus,
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