Concept explainers
To Explain: To explain the terms are decrease in magnitude of a geometric sequence when
Explanation of Solution
Given information: Given
Consider a geometric sequence in which first term is a and common ratio r
Case1:
When
In the above case it can be observed the sequence decrease and increase in alternating terms and this can be seen for all
Case2:
When
In this case, the terms remain same so the magnitude is constant in this case.
Case3:
When
In this case, the magnitude of terms is decreasing continuously.
Thus, when
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