Ch.9 Sequences and Series Section 3 – Geometric Sequences.

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Presentation transcript:

Ch.9 Sequences and Series Section 3 – Geometric Sequences

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

Formulas Recursive: initial condition recursive formula Explicit:

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

EXamples Is the sequence a geometric sequence? 1.)

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,…

EXample

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,

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