9.3 Geometric Sequences and Series. Common Ratio. In the sequence 2, 10, 50, 250, 1250, ….. Find the common ratio. Rule of Geometric Sequences. Let a 1 = 2 r = 5 Find a 6. Rule of Geometric Sequences. Let a 2 = 12 a 3 = 36 Find a 6. Rule of Geometric Sequences. - PowerPoint PPT Presentation

Text of 9.3 Geometric Sequences and Series

9.3 Geometric Sequences and Series

Common RatioIn the sequence 2, 10, 50, 250, 1250, ..

Find the common ratio

Rule of Geometric SequencesLet a1 = 2r = 5

Find a6

Rule of Geometric SequencesLet a2 = 12 a3 = 36

Find a6

Rule of Geometric SequencesLet a2 = 12 a3 = 36 r = 3Find a6

Finite SumThe equation to find the Finite Sum of a Geometric
Sequence

Finite SumLet a1 = 7, r = 3.Find the sum of the first 9
terms

Finite SumLet a1 = 7, r = 3.Find the sum of the first 9
terms

How many terms0.25 + 0.75 + 2.25 + .. = 820Common ratio

How many terms0.25 + 0.75 + 2.25 + .. = 820Common ratio 3

How many terms0.25 + 0.75 + 2.25 + .. = 820Common ratio 3

Infinite Geometric SeriesIf |r| < 1, it works

Infinite Geometric SeriesSince |0.2| < 1, it works. Let a1 =
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