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Practice for Third Exam Math 1352-006, Fall 2003 Dec 1, 2003

Practice for Third Exam Math 1352-006, Fall 2003 Dec 1, 2003

Practice for Third Exam Math 1352-006, Fall 2003 Dec 1, 2003 ANSWERS. i. Problem 1. In each part determine if the series is convergent or divergent. If it is convergent find the sum. (These are geometric or telescoping series.) A. X∞ k=3 5 2k. Answer: We have X∞ k=3 5 2k = 5 23 + 5 24 + 5 25 +··· This is a geometric series with ratio r = 1/2. Since |r| < 1, the series is convergent …