Determine whether the lotlowing series converges Σ 61 - 1) 7k+8 0 Let a > 0 represent the magnitude of the terms of the

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Determine whether the lotlowing series converges Σ 61 - 1) 7k+8 0 Let a > 0 represent the magnitude of the terms of the given series Select the correct choice below and fill in the answer boxes) to complete your choice 00 O A. The series converges because - ts nonincreasing in magrelude for k greater than some index N and limax- OB. The series converges because i Land for any Index N there are some values of k >N for which and some values of k>N for which ax. OC. The series diverges because is nondecreasing in magnitude for greater than some Index N OD. The series diverges because Is nonlncreasing in magnitude for k greater than some index N and lim x = O E. The series converges because we+ is nondecreasing in magnitude for k greater than some Index N OF The series diverges because and for any Index N there are some values of k>N for which ak+12, and some values of k>N for which akisak --00