Concept explainers
(a)
The equation that represents the nth term of the geometric sequence.
(a)
Answer to Problem 50E
The function is:
Explanation of Solution
Given information:
She will pay her parents of first month is $0.01
She will pay her parents of second month is $0.02
She will pay her parents of third month is $0.04
Formula used:
The function for a geometric sequence is:
Calculation:
The function for a geometric sequence is:
From the given,
Therefore, the function is:
Conclusion:
The function is:
(b)
The amount that she will pay on 25th day.
(b)
Answer to Problem 50E
She will have to pay $167772.16 on the 25th day
Explanation of Solution
Given information:
She will pay her parents of first month is $0.01
She will pay her parents of second month is $0.02
She will pay her parents of third month is $0.04
Formula used:
The function for a geometric sequence is:
Calculation:
At
She will have to pay $167772.16 on the 25th day
Conclusion:
She will have to pay $167772.16 on the 25th day
(c)
if the student had made a good choice or not.
(c)
Answer to Problem 50E
She should have chosen to live on campus because of the payments she will have to make living with her parents.
Explanation of Solution
Given information:
She will pay her parents of first month is $0.01
She will pay her parents of second month is $0.02
She will pay her parents of third month is $0.04
Formula used:
The function for a geometric sequence is:
Calculation:
She should have chosen to live on campus because of the payments she will have to make living with her parents. Imagine she will be pay more than $5 million on the 30th day!
Conclusion:
She should have chosen to live on campus because of the payments she will have to make living with her parents.
Chapter 6 Solutions
BIG IDEAS MATH Algebra 1: Common Core 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