Explain why or why not Determine whether the

Chapter 8, Problem 67

(choose chapter or problem)

Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. a. The sequence of partial sums for the series 1 + 2 + 3 + g is 51, 3, 6, 10, c6. b. If a sequence of positive numbers converges, then the terms of the sequence must decrease in size. c. If the terms of the sequence 5an6 are positive and increasing, then the sequence of partial sums for the series a _ k = 1 ak diverges.

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