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Appendix E Sigma Notation AP Calculus November 11, 2009 Berkley High School, D1B1 todd1@toddfadoir.com

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Calculus, Appendix E, Todd Fadoir, CASA, 20032 Sigma Notation Sigma Notation gives us a shorthand for writing series.

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Calculus, Appendix E, Todd Fadoir, CASA, 20033 Interpreting Sigma Notation Iterative variable Starting value Ending value “To sum” or summation Some expression Sum the value of i as i ranges from 1 to 5

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Calculus, Appendix E, Todd Fadoir, CASA, 20034 Interpreting Sigma Notation seq() is 2 nd List:Ops:5 sum() is 2 nd List:Math:5 Iterative variable Starting value Ending value “To sum” or summation Some expression

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Calculus, Appendix E, Todd Fadoir, CASA, 20035 Example seq() is 2 nd List:Ops:5 sum() is 2 nd List:Math:5

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Calculus, Appendix E, Todd Fadoir, CASA, 20036 Example: Without Calculators

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Calculus, Appendix E, Todd Fadoir, CASA, 20037 Examples Name the series that matches the sigma notations…

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Calculus, Appendix E, Todd Fadoir, CASA, 20038 Examples Name the sigma notations that matches the series …

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Calculus, Appendix E, Todd Fadoir, CASA, 20039 Examples Name the sigma notations that matches the series …

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Calculus, Appendix E, Todd Fadoir, CASA, 200310 Assignment Appendix E, 1-36, all

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Aim: What is the arithmetic series ? Do Now: Find the sum of each of the following sequences: a) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 b) 1 + 2 +

Aim: What is the arithmetic series ? Do Now: Find the sum of each of the following sequences: a) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 b) 1 + 2 +

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