Concept explainers
To write next three terms of the geometric sequence:
And also plot the graph of the sequence.
Answer to Problem 24E
The next three terms of given geometric series are: 9,
Explanation of Solution
Given:
The given geometric sequence is:
Concept Used:
- In a geometric sequence, the ration between each pair of consecutive terms is the same, this ratio is called the common ratio.
- Each term of a geometric series is found by multiplying the previous term by the common ratio.
Calculation:
To write next three terms of the geometric sequence:
First find the common ratio of the sequence by dividing second term by first, as
Thus, common ration of the given geometric sequence is
Thus, next term of 6 will be:
Similarly, next term of 9 is:
And, next term of
Thus, next three terms of given geometric series are: 9,
Now, to plot the graph of given sequence, first make a table of representing terms, say
n | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
4 | 6 | 9 | 13.5 |
Now, using this table plot the graph of the given sequence by plotting the coordinates in above table:
Thus, graph of the sequence is represented by blue and red dots, as
Chapter 6 Solutions
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
- 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