(a)
To calculate: The second and third differences in the diagram.
The second differences are 6,12,18,24 and the third differences are 6,6,6.
Given Information:
The given diagram is
Calculation:
To calculate the differences, subtract the number from its next number.
Hence, the second differences are 6, 12, 18, 24 and the third differences are 6, 6, 6.
(b)
To find: The value of the third difference when
The required third difference is 6.
Given Information:
The given third differences are 6, 6, 6.
Explanation:
Consider the given third differences 6, 6, 6.
Since, all the third differences are 6.
Thus, when
Hence the required third difference is 6.
(c)
To find: The reason whether the third difference for the other cubic function will be same or not.
Different cubic function has different third difference.
Explanation:
Every different function has different third difference.
Hence, different cubic function has different third difference.
Chapter 9 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
Additional Math Textbook Solutions
A Graphical Approach to College Algebra (6th Edition)
Elementary and Intermediate Algebra
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
Intermediate Algebra (7th Edition)
College Algebra (6th Edition)
Differential Equations and Linear Algebra (4th Edition)
- 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