9.3LA-solutions

9.3LA-solutions - MthSc 108-Learning Activity Solutions...

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MthSc 108-Learning Activity Solutions Section 9.3: Infinite Series For each problem, make a concluding statement in a complete (non-mathematical) written sentence for each problem. For problems 1-2, suppose that 25 1 = = n n a and s n { } represents the corresponding sequence of partial sums. 1. What is the n n s lim ? Explain your answer. lim 25 n n s →∞ = Because the limit of the sequence of partial sums converges to the sum of the series. 2. What is the n n a lim ? Explain your answer. lim 0 n n a →∞ = Because a n n = 1 converges; therefore, a n must go to 0. For each series (problems 3-6) do the following: A) Write out the first 4 terms as exact values or find the nth term as pertinent; B) Analytical determine if it converges or diverges; C) State the name of the test you use and be specific about how you have applied the criteria for that test or state the theorem you use; and D) If it converges find its sum. 3.
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9.3LA-solutions - MthSc 108-Learning Activity Solutions...

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