Concept explainers
White out. Each stage of the Sierpinski triangle is a figure composed of white and green triangles (as depicted on page 471). Mindscape 3 focused on the number of green (filled-in) triangles at each stage, but in this Mindscape we’re going to focus on the white triangles. Counting these bad boys is a little trickier, but you can verify for yourself that at stage n there are
Confirm that these two quantities are equal for Stage 4: that is, let
Want to see the full answer?
Check out a sample textbook solutionChapter 7 Solutions
The Heart of Mathematics: An Invitation to Effective Thinking, WileyPLUS NextGen Card with Loose-leaf Set Single Semester: An Invitation to Effective Thinking (Key Curriculum Press)
Additional Math Textbook Solutions
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
Finite Mathematics & Its Applications (12th Edition)
Introductory Combinatorics
Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)
- Answer the following questions. 5. What is the term for the arrangement that selects r objects from a set of ii objects when the order of the r objects is not important? What is the formula for calculating the number of possible outcomes for this type of arrangement?arrow_forwardIf P(AB)=0.7, is it possible that P(BA)=0.6? Explainarrow_forwardAlice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They wish to choose one picture of each grandchild to display on the piano in their living room, arranged from oldest to youngest. In how many ways can they do this?arrow_forward
- Alice and Bill have four grandchild, and they have three framed pictures of each grandchild. They wish to choose one picture of each grandchild to display on the piano in their living room, arranged from oldest to youngest. In how many ways can they do this?arrow_forwardIn how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The order of the two letters is not important.)arrow_forward
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell