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13.3 Arithmetic and Geometric Series and Their Sums Finite Series.

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Presentation on theme: "13.3 Arithmetic and Geometric Series and Their Sums Finite Series."— Presentation transcript:

1 13.3 Arithmetic and Geometric Series and Their Sums Finite Series

2 Objectives : 1. Identify Arithmetic and Geometric series 2. Find sums of Arithmetic and Geometric Series Vocabulary : Series, Arithmetic, Geometric 13.3 Arithmetic and Geometric Series

3 Sequences VS. Series Sequences – list of numbers Series – sum of a sequence

4 Arithmetic Series The formula for the sum of the first n terms of an arithmetic sequence, starting with n = 1, is:

5 -19 63 x x 6 353

6 Find n for the series in which 5 x y 440 3 n = 16

7 Geometric Series The Formula for the sum of the first n terms of a geometric sequence with first term a 1 and common ratio r, is given by:

8 1/2 7 x

9 x 7 70993 4

10 Assignment Textbook p.489-491 #1-9 odd, 35, 37


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