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S ECT. 9-2 SERIES. Series A series the sum of the terms of an infinite sequence Sigma: sum of.

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Presentation on theme: "S ECT. 9-2 SERIES. Series A series the sum of the terms of an infinite sequence Sigma: sum of."— Presentation transcript:

1 S ECT. 9-2 SERIES

2 Series A series the sum of the terms of an infinite sequence Sigma: sum of

3 Series 1.What happens as more and more terms of a series like are added?

4 Series 2. What happens as more and more terms of a series like are added?

5 Geometric Series An geometric series is the sum of the terms of a geometric sequence. The sum of a geometric series is given by: Where r is the common ratio

6 Geometric Series Test Where r is the common ratio and a is the first term The sum of an infinite geometric series for which is given by

7 3. Determine if the series converges or diverges and, if possible, find the sum of the series

8 4. Determine if the series converges or diverges and, if possible, find the sum of the series

9 5. Determine if the series converges or diverges and, if possible, find the sum of the series

10 6) What is the common ratio? What is a?

11 7) Rewrite in geometric series form

12 H OME W ORK Page 614 #,7,8, 9,25-28, 37-40, 45-49


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