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SERIES: PART 1 Infinite Geometric Series. Progressions Arithmetic Geometric Trigonometric Harmonic Exponential.

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Presentation on theme: "SERIES: PART 1 Infinite Geometric Series. Progressions Arithmetic Geometric Trigonometric Harmonic Exponential."— Presentation transcript:

1 SERIES: PART 1 Infinite Geometric Series

2 Progressions Arithmetic Geometric Trigonometric Harmonic Exponential

3 Infinite Series

4 Add terms one at a time from beginning to view the pattern of partial sums Find partial sum of ◦ 1 st, 2 nd, 3 rd …. n th term Is there a pattern?

5 Understanding: Infinite Series

6 Infinite Series: Definition

7 Converging and Diverging Series

8 Geometric Series

9 Geometric Series: Examples

10

11 Geometric Series: Example 2. Find the value of the infinite geometric series

12 Geometric Series: Examples 3. Find the sum of the infinite geometric series 4. Given the second term of a geometric sequence is ½ and the 4 th term is 1/8. Find the sum to infinity. 5.


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