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13. Determine if the sequence ak = In(3k2 - 4) - In(5k2 + 7), k = 1, 2, 3 ... converges or diverges. If it

13. Determine if the sequence ak = In(3k2 - 4) - In(5k2 + 7), k = 1, 2, 3 ... converges or diverges. If it diverges, explain; if it converges, find its limit. 14. Determine if the following series converges or diverges, assuming the pattern continues. If it converges, find its sum; if it diverges, show your argument. 4 4TT 4712 4173 4714 4 TT 5 5 25 125 625 3125 15625

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