Concept explainers
Determine if each sequence is a geometric sequence. If it is, find the common ratio and write the explicit and recursive formulas.
To find : If the sequence is a geometric sequence. If it is, find the common ratio and write the explicit and recursive formulas.
Answer to Problem 27P
The given sequence is geometric with common ratio
The explicit formula for the given sequence is
The recursive formula for the given sequence is
Explanation of Solution
Given sequence:
Calculation:
A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed , non-zero number called common ratio.
Since, each term (except the fist term) is found by multiplying the previous term by
The first term of the sequence is
The explicit formula for the given sequence is
The recursive formula for the given sequence is
Chapter 7 Solutions
High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
Additional Math Textbook Solutions
Linear Algebra and Its Applications (5th Edition)
Graphical Approach To College Algebra
A Graphical Approach to College Algebra (6th Edition)
Linear Algebra with Applications (2-Download)
College Algebra with Modeling & Visualization (6th Edition)
Elementary and Intermediate Algebra
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education