of 15/15
9.3 Geometric Sequences and Series

9.3 Geometric Sequences and Series

  • View
    50

  • Download
    4

Embed Size (px)

DESCRIPTION

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