![]() You may wish to have the class record their answers on separate sheets of paper, or just use the questions posed to engage a class discussion. The student worksheet provides detailed instructions for the completion of the activity and a place for students to record their work. Students should have been exposed to arithmetic and geometric sequences and work competently with exponents and scientific notation. Vocabulary geometric sequence exponential function Teacher Preparation and Notes This activity is appropriate for an Algebra 1 classroom. Graph an exponential function of the form f(x) = ab x where a and b are non-zero real numbers and b 1. Graph the terms of a geometric sequence as a scatterplot. Display the terms of a geometric sequence on a spreadsheet using recursion. As a result, students will: Display the terms of a geometric sequence on a spreadsheet using the formula for the nth term. The activity concludes by discussing the meaning of the constants a and b in the exponential function f(x) = ab x. Then they derive, evaluate, and graph an exponential function to model the data. After finding a rule for the sequence, they apply it recursively to extend it and graph the resulting data as a scatter plot. 1 About the Lesson Students explore a geometric sequence that models the spread of the 2004 Mydoom virus.
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