### 2017 Precalculus Section 13

```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.
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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
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Mar 28­3:01 PM
Sum of Squares
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2
2017 Precalculus Section 13­6 Sigma Notation.notebook
April 12, 2017
Example:
Sum of Cubes
Express in sigma notation and evaluate.
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Mar 28­3:11 PM
Express in sigma notation and evaluate.
Solution:
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Assignment:
Worksheet 13­6
Sigma Notation Mar 28­3:19 PM
3
```