9­2 Series and Summation Notation­ period 1.notebook
April 20, 2015
Homework: Worksheet 9-1 Practice A
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9­2 Series and Summation Notation­ period 1.notebook
April 20, 2015
Bellwork 4-20-15
Find the first 5 terms of each sequence.
1.
4.
2.
5.
3.
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9­2 Series and Summation Notation­ period 1.notebook
April 20, 2015
Objective
Evaluate the sum of a series expressed in sigma notation.
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9­2 Series and Summation Notation­ period 1.notebook
April 20, 2015
Vocabulary
series
partial sum
summation notation
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9­2 Series and Summation Notation­ period 1.notebook
April 20, 2015
A series is the indicated sum of the terms of a
sequence. Some examples are shown in the table.
Because many sequences are infinite and do not have defined sums, we
often find partial sums. A partial sum, indicated by Sn, is the sum of a
specified number of terms of a sequence.
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9­2 Series and Summation Notation­ period 1.notebook
April 20, 2015
A series can also be represented by using summation notation, which
uses the Greek letter Σ (capital sigma) to denote the sum of a
sequence defined by a rule, as shown.
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9­2 Series and Summation Notation­ period 1.notebook
April 20, 2015
Example 1A: Using Summation Notation
Write the series in summation notation.
4 + 8 + 12 + 16 + 20
Find a rule for the kth term of the sequence.
Write the notation for the first 5 terms.
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9­2 Series and Summation Notation­ period 1.notebook
April 20, 2015
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9­2 Series and Summation Notation­ period 1.notebook
April 20, 2015
Example 1B: Using Summation Notation
Write the series in summation notation.
Find a rule for the kth term of the sequence.
Write the notation for the first 6 terms.
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9­2 Series and Summation Notation­ period 1.notebook
April 20, 2015
Check It Out! Example 1a
Write each series in summation notation.
Find a rule for the kth term of the sequence.
Write the notation for the first 5 terms.
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9­2 Series and Summation Notation­ period 1.notebook
April 20, 2015
Check It Out! Example 1b
Write the series in summation notation.
Find a rule for the kth term of the sequence.
Write the notation for the first 6 terms.
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9­2 Series and Summation Notation­ period 1.notebook
April 20, 2015
Homework: Worksheet 9-2 Practice A #'s 1-7
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