To calculate: The sum of the numbers for each row of 0-4 and the
1, 2, 4, 8, and
Given information:
The Pascal Triangle is given as
Calculation:
Every numbers in Pascal’s Triangle except 1 is some of the closest two numbers in row directly above it.
Pascal’s
Pascal’s Triangles as numbers can be written as
Sum of all elements in first row is 1, second row is 2, 3rd row is 4, 4th row is 8, 5th row is 16.
The pattern continues.
For
For
For
For
So, sum of all elements of each row is twice the previous row and 2 raised to the power of row number decreased by 1.
So, the sum of all elements of
Chapter 6 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