Determine whether the following series converges. 3( - 1) k 3k + 8 k = 0 . . . Let ax 2 0 represent the magnitude of the terms of the given series. Identify and describe ak. Select the correct choice below and fill in any answer box in your choice. O A. ap = is nonincreasing in magnitude for k greater than some index N. OB. a= and for any index N, there are some values of k > N for which ak + 1 2 a, and some values of k > N for which ak + 1 Sak. OC. a = is nondecreasing in magnitude for k greater than some index N.Determine whether the following series converges. 3(- 1)k + 1 k = 1 1 4 . . . Let ax 2 0 represent the magnitude of the terms of the given series. Identify and describe ak. Select the correct choice below and fill in any answer box in your choice. O A. ak = is nonincreasing in magnitude for k greater than some index N. O B. ak = is nondecreasing in magnitude for k greater than some index N. O c. ak = and for any index N, there are some values of k > N for which ak + 1 2 ax and some values of k > N for which ak + 1 Sak.Use the Alternating Series Test to determine whether the series converges. k k = 0 . . . Let a 2 0 represent the magnitude of the terms of the given series Select the correct choice below and fill in any answer box in your choice. O A. ak = and for any index N, there are some values of k > N for which ak + 1 2 ax and some values of k > N for which ak + 1 Sak. O B. ak = is nondecreasing in magnitude for k greater than some index N. O c. ak = is nonincreasing in magnitude for k greater than some index N