Use an appropriate test to determine whether the series given below converges or diverges. Σ 1 k = 3 vk° - 6k + 18 ..... Select the correct choice below and, if necessary, fill in the answer box (es) to …

Problem 37E: In Exercises 31–38, use the nth-Term Test for divergence to show that the series is divergent, or... Problem 38E Problem 39E: In Exercises 39–44, find a formula for the nth partial sum …

Solution for Calculation: Consider the series E 3n +3 Since, by the nth-Term test for convergence series. If lima, 0 then a, convergence. Thus, for the series,)…

Use the nth-term test for divergence to show that the series is divergent, or state that the test is inconclusive. ∞ 1 Σ n=0 Select the correct choice below and, if necessary, fill in the answer box …

Solution for In Exercises 29–36, test for convergence or divergence, using each test at least once. Identify which test was used. (a) nth-Term Test 2 (c)…

Test: O nth term test for divergence O geometric series test O comparison test O p-series test integral test O alternating series test O ratio test O root test Convergent/Divergent: O convergent O divergent …

1) The integral test shows that the series converges 2) The nth-term test shows that the series converges 3) The series diverges because the series is a geometric series with |r|>=1 4) The nth …

Transcribed Image Text: 3 *Σ (-)* n5. 2 Consider the series Based on the nth term test, the series is Select an answer Based on the ratio test, the series is Select an answer Based on the alternating …

Solution for In Exercises 31– 34, use the nth-Term Test for divergence to show that the series is divergent, or state that the test is inconclusive. п (n + 1) (п…