Determine whether the following series converges. 6(-1)K+1 k=1 Let ak ≥ 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 a = OB. The series diverges because ak = OC. The series diverges because ak = ak+1 ≤ak. O D. The series converges because ak = O E. The series diverges because ak = O F. The series converges because ak = ak+1 ≤ak. is nonincreasing in magnitude for k greater than some index N and lim ak = k→∞ is nondecreasing in magnitude for k greater than some index N. and for any index N, there are some values of k> N for which ak + 1 ≥ak and some values of k > N for which is nondecreasing in magnitude for k greater than some index N. is nonincreasing in magnitude for k greater than some index N and lim ak = k→∞ and for any index N, there are some values of k>N for which ak + 1 ≥ak and some values of k> N for which

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