Part I. Multiple Choice: Graphing Calculator Permitted Circle the correct answer for each problem. 1. Find such that the following series has the given sum, . c a. b. c. d. e. 2. What is the minimum number of terms, that is required in order to find the sum to the indicated N, accuracy? a. b. c. d. e. 3. Given the alternating series , find an inequality that estimates the sum, using the partial S, sum . a. b. c. None of these d. e. Investigate the convergence or divergence of the series using the Ratio Test. 4. a. The Ratio Test does not apply b. The Ratio Test is inconclusive c. Converges by the Ratio Test d. Diverges by the Ratio Test e. None of these 5. Write an expression for the nth term of the sequence 4, -4, , a. b. c. d. e. None of these Part II. Free Response: Graphing Calculator Permitted Be sure to show all your work. 6. Consider the series . Is the series convergent or divergent? Explain thoroughly. (3 points)
Part I. Multiple Choice: Graphing Calculator Permitted Circle the correct answer for each problem. 1. Find c such that the following series has the given sum, . a. b. c. d. e. 2. What is the minimum number of terms, N, that is required in order to find the sum to the indicated accuracy? a. b. c. d. e. 3. Given the alternating series , find an inequality that estimates the sum, S, using the partial sum . a. b. c. d. e. None of these 4. Investigate the convergence or divergence of the series using the Ratio Test. a. The Ratio Test does not apply b. The Ratio Test is inconclusive c. Converges by the Ratio Test d. Diverges by the Ratio Test e. None of these 5. Write an expression for the nth term of the sequence 4, -4, , a. b. c. d. e. None of these Part II. Free Response: Graphing Calculator Permitted Be sure to show all your work. 6. Consider the series . Is the series convergent or divergent? Explain thoroughly. (3 points)