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11.3 – Geometric Sequences and Series

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Presentation on theme: "11.3 – Geometric Sequences and Series"— Presentation transcript:

1 11.3 – Geometric Sequences and Series

2 Arithmetic Series Sum of Terms Geometric Series Sum of Terms Arithmetic Sequences Geometric Sequences ADD To get next term MULTIPLY To get next term

3 Vocabulary of Sequences (Universal)

4 Find the next three terms of 2, 3, 9/2, ___, ___, ___
3 – 2 vs. 9/2 – 3… not arithmetic

5 1/2 x 9 NA 2/3

6 -3, ____, ____, ____

7 x 9 NA

8 x 5 NA

9 1/2 7 x

10 1, 4, 7, 10, 13, …. Infinite Arithmetic No Sum 3, 7, 11, …, 51 Finite Arithmetic 1, 2, 4, …, 64 Finite Geometric 1, 2, 4, 8, … Infinite Geometric r > 1 r < -1 No Sum Infinite Geometric -1 < r < 1

11 Find the sum, if possible:

12 Find the sum, if possible:

13 Find the sum, if possible:

14 Find the sum, if possible:

15 Find the sum, if possible:


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