i.
To state: The representation by n for each quilt and also what represents.
The number of blue squares is represented by
Given information:
The given pattern of checkerboards quilt is:
Explanation:
Consider the given image of the quilt.
Now observe the pattern. The first quilt is not divided and the second quilt has 2 rows and 2 columns.
The third quilt has 3 rows and 3 columns and the fourth quilt has 4 rows and 4 columns and so on.
It can be seen that n represents the number of rows and columns in which the quilt is divided.
Now observe the pattern again, the first quilt is blue and the third quilt has 5 blue squares
Therefore, it can be said that represents the number of blue squares.
ii.
To state: A table that shows n and for
n | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
![]() | 1 | 2 | 5 | 8 | 13 | 18 | 25 | 32 |
Given information:
The given values are
Explanation:
From the pattern it can be said that:
For
For
For
If the number n is even then the number of blue squares:
If the number n is odd then the number f blue square:
Now make a table showing n and
n | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
![]() | 1 | 2 | 5 | ![]() |
iii.
To state: The values of for
The rule
Given information:
The given rule is
Explanation:
Consider the rule:
Now substitute the values of n as
It can be seen that the values of from rule
It can be concluded that the rule is for calculating the number of blue squares.
Chapter 7 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
- 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
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780135163078/9780135163078_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780980232776/9780980232776_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780077836344/9780077836344_smallCoverImage.gif)