Concept explainers
Whether the statement “In a geometric sequence, the ratio between any two consecutive terms is a constant” is true or false.
Answer to Problem 1RE
The statement “In a geometric sequence, the ratio between any two consecutive terms is a constant” is
Explanation of Solution
The given statement is “In a geometric sequence, the ratio between any two consecutive terms is a constant”.
From definition it is clear that in a geometric sequence the first term can be found by multiplying the preceding term by the same number and the ratio of any two consecutive terms is a constant r.
It is given by
Therefore, the statement “In a geometric sequence, the ratio between any two consecutive terms is a constant” is
Want to see more full solutions like this?
Chapter 12 Solutions
Calculus with Applications Plus MyLab Math with Pearson eText -- Access Card Package (11th Edition) (Lial, Greenwell & Ritchey, The Applied Calculus & Finite Math Series)
- 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