Concept explainers
nth Term of a Sequence Find a formula for the nth term of the sequence
[Hint: Write each term as a power of 2.]
The
Answer to Problem 75E
The
Explanation of Solution
The given sequence is,
The sequence follows pattern geometrically to the power of 2,
This shows the above sequence can be rewritten as,
Observe that numerator has a incremental value and follows a general pattern with the denominator of power 2 which can be generalize as
Thus, the
Chapter 12 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- 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