Determine whether the following series converges. Justify your answer. (-1)kk Σ k=1 6k +1 5 Select the correct choice be

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Determine whether the following series converges. Justify your answer. (-1)kk Σ k=1 6k +1 5 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) so the series converges by the properties of a geometric series. O A. The series is a geometric series with common ratio OB. The series is a geometric series with common ratio so the series diverges by the properties of a geometric series. O C. The terms of the series alternate in sign, are nonincreasing in magnitude, and the limit of their absolute values is so the series converges by the Alternating Series Test. OD. The series is a p-series with p = so the series converges by the properties of a p-series. O E. The limit of the terms of the series is, so the series diverges by the Divergence Test. O F. The terms of the series are alternating and the limit of their absolute values is so the series diverges by the Alternating Series Test.