Determine whether the following series converges. 8 7( -1) k=0 ki +7 Let a, > 0 represent the magnitude of the terms of the given series. Select the correct choice below and fill in the answer box(es) to complete your choice. O A. The series converges because ak = 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 O B. The series diverges because ak = is nonincreasing in magnitude for k greater than some index N and lim ay = O C. The series diverges because ak and for any index N, there are some values of k > N for which axe , z a, and some values of k > N for which ak + 1 Sak O D. The series diverges because ak is nondecreasing in magnitude for k greater than some index N. O E. The series converges because ak = is nonincreasing in magnitude for k greater than some index N and lim ak = K-+ 00