9.4 Arithmetic Series_1.notebook
March 19, 2012
9.4 Arithmetic Series A series is the sum of the terms of a sequence. A finite series has a first term and a last term. An infinite series continues without end.
An arithmetic series is a series whose terms form an arithmetic sequence. When a series has a finite number of terms, you can use a formula involving the first and last terms to evaluate the sum.
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9.4 Arithmetic Series_1.notebook
March 19, 2012
What is the sum of each finite arithmetic series?
1. 4 + 7 + 10 + 13 + 16 + 19 3. 3 + 6 + 9+.... + 33 2. 8 + 9 + 10 +....+ 19 4. 1 + 5 + 9 +....+ 45
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9.4 Arithmetic Series_1.notebook
March 19, 2012
You can use a Greek capital letter, Σ, to indicate a sum.
With it you use limits to indicate how many terms you
are adding. Limits are the least and greatest values of
n in the series. You write the limits below and above
the Σ to indicate the first and last terms of the series.
For the series: 32 + 42 + 52 +...+1082 we can write:
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9.4 Arithmetic Series_1.notebook
March 19, 2012
What is the summation notation for the series?
5. 7 + 11 + 15 +...+ 207
7. 500 + 490 +...+ 10
6. ­ 5 + 2 + 9 + 16 + 268
8. (­ 3) + (­ 6) + (­ 9) +...+ ( ­ 30)
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9.4 Arithmetic Series_1.notebook
March 19, 2012
Find the sum of each finite series.
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10.
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9.4 Arithmetic Series_1.notebook
March 19, 2012
11.
12.
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9.4 Arithmetic Series_1.notebook
March 19, 2012
HW p. 591; 8 ­ 26 all
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