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 Integrated Math 1: Student Edition 2016
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education