Concept explainers
To write: The sum using sigma notation and to find the sum using graphing utility.
Answer to Problem 107E
The sigma notation of the given sequence is
The sum of the sequence using a graphing utility is
Explanation of Solution
Given information:
Calculation:
Finding the sigma notation for the given sequence,
The denominator increases exponentially by a factor
Therefore the denominator can be represented by
The numerator increases exponentially by a factor
Therefore the numerator can be represented by
The sigma notation for the given sum is,
The sum of sequence using a graphing utility is,
Thus we can use the sigma notation to represent a sum and find the sum using graphing utility.
Chapter 8 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- 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