Fall 2012 Math 152 Group Activity 10 (Overview of Convergence Tests) Section ________ Names ____________________ This is the format of your answers: 1. Converge or diverge; 2. The reason (named or stated test); 3. The conditions met to apply the test (You do not have to show the conditions, just state them; 4. The application of the test (i.e. the computation done). Calculators are not allowed. Problems: For problems 1‐6, determine whether the series converges absolutely, converges conditionally, or diverges. 1. ∑
2. ∑
3. ∑
4. ∑
5. ∑
6. ∑
7. For the last series, the series. 1.037392940198405. Estimate how close this is to the actual sum of 8. How many terms are needed to find the sum of the third and fourth series correct to within 0.001?