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Thursday, March 8 How can we use geometric sequences and series?

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Presentation on theme: "Thursday, March 8 How can we use geometric sequences and series?"— Presentation transcript:

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2 Thursday, March 8 How can we use geometric sequences and series?

3 Geometric Sequences An geometric sequence has a common ratio between consecutive terms. The sum of the first n terms of an geometric series is: The nth term of an geometric sequence is given by: Notes Over 4.9

4 Geometric Sequences Decide whether the sequence is geometric. Notes Over 4.9

5 Geometric Sequences Decide whether the sequence is geometric. Notes Over 4.9

6 Geometric Sequences Write a rule for the nth term of the geometric sequence. Then find a 12. Notes Over 4.9

7 Geometric Sequences Write a rule for the nth term of the geometric sequence. Then find a 12. Notes Over 4.9

8 Geometric Sequences Write a rule for the nth term of the geometric sequence. Then find a 12. Notes Over 4.9

9 Geometric Sequences Write a rule for the nth term of the geometric sequence. Then find a 12. Notes Over 4.9

10 Geometric Sequences Find the sum of the first n terms of the geometric series.. Notes Over 4.9

11 Infinite Geometric Sequences The sum of an infinite geometric series is: provided l r l < 1. If l r l > 1, then the series has no sum. Notes Over 4.9

12 Infinite Geometric Sequences Find the sum of the infinite geometric series, if it has one. Notes Over 4.9

13 Infinite Geometric Sequences Find the sum of the infinite geometric series, if it has one. Notes Over 4.9

14 Infinite Geometric Sequences Find the sum of the infinite geometric series, if it has one.

15 Notes Over 11.3 Pg. 159, 4.9 #1-24


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