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Geometric Sequences Formulas and Examples

Explore geometric sequence definitions, formulas, and examples, including identifying geometric sequences and finding missing terms. Learn about geometric mean in sequences. Discover the 10th term, missing values, and more.

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Geometric Sequences Formulas and Examples

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

  2. Has a starting value of a and a common ratior. Definition: Geometric Sequence

  3. Formulas Recursive: initial condition recursive formula Explicit:

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

  5. EXamples Is the sequence a geometric sequence? 1.)

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

  7. EXample

  8. 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,

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

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