Determine whether the following series converges.00k=2K2 +1Let a 20 represent the magnitude of the terms of the given series. Select the correct choice below and

Determine whether the following series converges.00k=2K²2² +1Let a 20 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.OA. The series converges because aOB. The series diverges because ax =OC. The series converges because a =OD. The series diverges because axO E. The series diverges because akOF. The series converges because ax =is nonincreasing in magnitude for k greater than some index N and lim ax =k-00is nonincreasing in magnitude for k greater than some index N.and for any index N, there are some values of k>N for which ax+128, and some values of k>N for which ak+15akand for any index N, there are some values of k>N for which ax+12ax and some values of k>N for which ak+158kis increasing in magnitude for k greater than some index N and lim ax =k-0is nonincreasing in magnitude for k greater than some index N.