Concept explainers
Assume that the pattern of a square followed by 2 circles and a triangle continues to repeat in the sequence of shapes in Flgure 9.49 and that the numbets below the shapes indicate the position of each shape in the sequence.
- What shape will be above the number 150? Explain how you can tell.
- How many circles will there be above the numbers 1 through 150? Explain your answer.
- Consider the numbers that are below the squares. What kind of sequence do these numbers form: an arithmetic .sequence. a geometric sequence. or neither? Why? lf It is either an arithmetic sequence or a geometnc sequence. give an expression for the Nth entry.
- Consider the numbers that are below the circles What kind of sequence do these numbers form an arithmetic sequence, a geometric sequence or neither ? why? If it is either an arithmetic sequence or a geometric sequence give an expression for the Nth entry
Figure 9.49 A repeating pattern of shapes.
Want to see the full answer?
Check out a sample textbook solutionChapter 9 Solutions
Mathematics for Elementary Teachers with Activities Plus MyLab Math -- Title-Specific Access Card Package (5th Edition)
Additional Math Textbook Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
Algebra and Trigonometry: Graphs and Models (6th Edition)
Finite Mathematics (11th Edition)
Math in Our World
The Heart of Mathematics: An Invitation to Effective Thinking
- Find the missing term in each arithmetic sequence. If the 5th term of an arithmetic sequence is 14 and the second term is 5, find the 15th term.arrow_forwardFind the required term of each geometric sequence. 81,27,9,; 11th termarrow_forwardThe 8th term of an arithmetic sequence is 25, and the 12th term is 41. Write the first 11 terms of this sequence.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill