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Size: 187 KB

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Categories:

  1. Class or Laboratory
  2. Courses
  3. Tools

Subjects:

  1. Precalculus
  2. Indexed variables
  3. Scatter Plots
  4. Graphing
  5. Iteration and recursion
  6. Sequences and series
  7. Quadratic graphs
  8. Quadratic functions

Title: Quadratic Growth

Book Description: In this Laboratory, we will study a new model of growth. We saw that arithmetic growth models are characterized by straight-line graphs. The function rule for the sequence is linear: a(n) = m*n+b, and the difference equation (recursive definition) has the form: a(n) = a(n-1) + c for some constant c. We will see that when the difference equation has instead the form: a(n) = a(n-1) + m*(n-1)+b for some constants m and b the rule of growth is still fairly simple. Such sequences are called Quadratic sequences. They describe what is called "Quadratic Growth."

Authors: James White and Dan Kalman

Contained in Precalculus Course.

Suggested Use: Instructions are under the (?) button. The first page of this lab is a Report page and contains the lab assignment with space for students to fill in answers. This has been saved as Notes for that page. To open the report, return to the first page by pressing the Black Rectangle, then select Customize, Notes for this page. To close the notes before leaving the first page, select: Customize, Close Notes

Topics: graphing, parabolae, quadratic graphs, difference equations, recursion

Number of Pages: 3

Animation: No

Grade Level:

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