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Published byGodfrey Charles Modified over 7 years ago

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Ch.9 Sequences and Series Section 3 – Geometric Sequences

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Definition: Geometric Sequence Has a starting value of a and a common ratio r.

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Formulas Recursive: initial condition recursive formula Explicit:

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EXamples Is the sequence a geometric sequence? 1.) 3,6,12,24,48,… 2.) 3,6,9,12,15

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EXamples Is the sequence a geometric sequence? 1.)

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EXample What is the 10 th term of the geometric sequence? 4,12,36,… What is the second and third term in this sequence? 2, __, __, -54,…

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EXample

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Definition: Geometric Mean In a geometric sequence, the square of the middle term of any three consecutive terms is equal to the product of the other two terms. So,

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EXample What are the possible values of the missing term? 48, __, 3,…

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