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9.3 Geometric Sequences and Series

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.

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9.3 Geometric Sequences and Series

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  1. 9.3 Geometric Sequences and Series

  2. Common Ratio In the sequence 2, 10, 50, 250, 1250, ….. Find the common ratio

  3. Rule of Geometric Sequences Let a1 = 2 r = 5 Find a6

  4. Rule of Geometric Sequences Let a2 = 12 a3 = 36 Find a6

  5. Rule of Geometric Sequences Let a2 = 12 a3 = 36 r = 3 Find a6

  6. Finite Sum The equation to find the Finite Sum of a Geometric Sequence

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

  8. Finite Sum Let a1 = 7, r = 3. Find the sum of the first 9 terms

  9. How many terms 0.25 + 0.75 + 2.25 + …….. = 820 Common ratio

  10. How many terms 0.25 + 0.75 + 2.25 + …….. = 820 Common ratio 3

  11. How many terms 0.25 + 0.75 + 2.25 + …….. = 820 Common ratio 3

  12. Infinite Geometric Series If |r| < 1, it works

  13. Infinite Geometric Series Since |0.2| < 1, it works. Let a1 = 42

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

  15. Homework Page 640 – 641 # 3, 9, 27, 81, 113

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