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

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Presentation transcript:

SERIES: PART 1 Infinite Geometric Series

Progressions Arithmetic Geometric Trigonometric Harmonic Exponential

Infinite Series

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?

Understanding: Infinite Series

Infinite Series: Definition

Converging and Diverging Series

Geometric Series

Geometric Series: Examples

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

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.