Series The Series Finale True Or False

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1.	The graph below shows the first 4 terms of the series . What is the third partial sum S₃ of this series? -> 1 True False
2.	Consider the two series and . If and , the divergence test tells us that -> A diverges and B may either diverge or converge. True False
3.	Consider the series . In order to use the Alternating Series Test, which of the following conditions must apply? (I) must be an alternating series (II) \|a_{n + 1}\| < \|a_n\| (III) \|a_{n + 1}\| > \|a_n\| (IV) -> I, II, and IV True False
4.	Consider the alternating series What is the error bound for the 5th partial sum? -> True False
5.	Which series can not have its convergence or divergence determined by using the ratio test? -> True False
6.	Consider the picture shown below. Assume that diverges and converges. Which of the following statements is true? -> The series converges. True False
7.	Consider two series: (I) (II) By using the comparison test with the harmonic series for comparison, we can show that -> neither (I) nor (II) diverge True False
8.	Suppose and both converge. Then -> converges True False
9.	Which convergence/divergence test should be tried first? -> the divergence test True False
10.	The series -> diverges by comparison with True False

Series True or False

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