2017 Precalculus Section 136 Sigma Notation.notebook April 12, 2017 Wednesday, April 12 Precalculus Determine the number of terms in each series. 1) 1 + 6 + 11 + 16 + ....+ 91 2) 1 + 3 + 9 + 27 + ...+ 6561 3) 1 + 8 + 27 + 64 + ... + 1000 Sigma Notation The Greek letter Σ (sigma) is often used in mathematics to express a series or its sum in an abbreviated form. Mar 2612:25 PM For example, represents the series whose terms are obtained by evaluating k2 first for k = 1, then for k = 2, then for k = 3, and so on until k = 100. That is Mar 282:44 PM Write in expanded form: Ʃ 2n1 Ʃ3k1 The symbol on the left above may be read as "the sum of k2 for values of k from 1 to 100. Mar 282:55 PM Apr 111:16 PM 1 2017 Precalculus Section 136 Sigma Notation.notebook Express the following using sigma notation April 12, 2017 Properties of Finite Sums 3 + 6 + 9 + 12 + 15 + 18 2 + 6 + 10 + 14 + ... + 50 Apr 111:21 PM Sum of Integers Mar 283:05 PM Mar 283:01 PM Sum of Squares Mar 283:08 PM 2 2017 Precalculus Section 136 Sigma Notation.notebook April 12, 2017 Example: Sum of Cubes Express in sigma notation and evaluate. Mar 283:09 PM Mar 283:11 PM Express in sigma notation and evaluate. Solution: Mar 283:11 PM Assignment: Worksheet 136 Sigma Notation Mar 283:19 PM 3
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