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8.3_bzca5e

# 8.3_bzca5e - Section 8.3 Geometric Sequences and Series...

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Section 8.3 Geometric Sequences and Series

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Geometric Sequences

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Example 2 1 In a geometric sequence the first term is 5 and the second term is 10, what is the common ratio? To find the common ratio r = . a a
Example If in a geometric sequence the first term is 27 and the 1 common ratio is , what are the next 5 terms? 3

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The General Term of a Geometric Sequence

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Example Find the fifth term of a geometric sequence whose 1 first term is -64 and whose ratio is - . 2
The Sum of the First n Terms of a Geometric Sequence

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Technology On the TI 83, 84 Calculator: 2nd - STAT (list)-MATH-#5 for Sum 2nd - STAT(list)-OPS-#5 for Seq Then in parenthese type: (expression, X, lower bound, upper bound, increment)

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Example Find the sum of the first 15 terms of the geometric sequence: -27, 9,-3,1,... (Round to the nearest hundredth.)
Example 7 1 Find the following sum: 4 3 i i = g

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Example Find the total lifetime salary over a 30 year period that a school teacher is paid if her first annual salary was \$7000 and the school system where she works only gives a 3% cost of living salary increase each year. (r=1.03) (Round to the nearest hundredth.)
Annuities

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8.3_bzca5e - Section 8.3 Geometric Sequences and Series...

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