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9.3 Geometric Sequences and Series

# 9.3 Geometric Sequences and Series

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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 = 42

• Homework Page 640 641 # 5, 15, 25, 35, 45, 55, 65, 75, 85, 105, 115

• Homework Page 640 641 # 3, 9, 27, 81, 113

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