For this week's discussion board, you will be creating your own series. Pick your favorite number and create the following series. 1. A telescoping series that sums to your favorite number. 2. A geometric series that sums to your favorite number. 3. A geometric series that diverges.

For this week's discussion board, you will be creating your own series. Pick your favorite number and create the following series. 1. A telescoping series that sums to your favorite number. 2. A geometric series that sums to your favorite number. 3. A geometric series that diverges.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 81E

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Question

Week 10 Discussion
For this week's discussion board, you will be creating your own series. Pick your favorite number and create the following series.
1. A telescoping series that sums to your favorite number.
2. A geometric series that sums to your favorite number.
3. A geometric series that diverges.
4. A series that diverges by the nth term test.

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