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Title: Geometric Growth
Book Description: In arithmetic growth sequences, the recursive definition is: a(0) = b, a(n+1) = a(n)+m for constants m and b. The function definition then has the form: a(n) = m*n+b for constants m and b.These are probably the simplest sequences to consider, and they lead directly to linear functions.In this laboratory, we are going to introduce Geometric growth sequences. They differ in only one essential way from arithmetic growth sequences, and are, in a sense, as simple as the arithmetic sequences. They will lead directly to the exponential (and logarithmic) functions, which are an important complement to the linear functions in modeling.
Authors: James White and Dan Kalman
Contained
in Precalculus Course.
Suggested Use: For this laboratory, students are to write a self-contained, well-organized exposition and analysis of the issues raised. Their aim will be to present an overview of the issues, articulating clearly what they are, and how they have been addressed. The report will thus be an essay whose aim is to present in a concise but clear way the computational and conceptual techniques that were explored. There is, therefore no report page for this laboratory.
Topics: growth models, graphing, recursion, sequences, geometric growth, exponential growth
Number of Pages: 4
Animation: No
Grade
Level: 
