MATH270_W3_Lab_Worksheet - Week 3 Lab Name Part 1 The Infinite Geometric Series 1 Given the following geometric series write out the first 5 partial

MATH270_W3_Lab_Worksheet - Week 3 Lab Name Part 1 The...

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Week 3 Lab Name: Part 1: The Infinite Geometric Series1. Given the following geometric series write out the first 5 partial sums. Explain how to do this. 2. Do these partial sums appear to be approaching a finite sum forthe entire series? If so, what does that sum appear to be? No 3. How do we know for sure that the above infinite geometric serieshas a sum? What is the formula that we can use to find the sum ofan infinite geometric series? 4. Identify the following and use them to determine the sum of theinfinite geometric series above. r = 1/3 Sum = 65. Can we find the sum of these infinite geometric series? other words, do these series converge? Explain. If you can find the sum, do so. 4 In a) b)

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