In the known arithmetic sequence {an}, D > 0, a3a7 = - 16, A2 + A8 = 0, let TN = | A1 | + | A2 | + +|An |. Find the general formula an of (I) {an}; (II) find TN

In the known arithmetic sequence {an}, D > 0, a3a7 = - 16, A2 + A8 = 0, let TN = | A1 | + | A2 | + +|An |. Find the general formula an of (I) {an}; (II) find TN

(1) From the properties of arithmetic sequence, we can get A2 + A8 = A3 + A7 = 0, ∵ a3a7 = - 16, and D > 0 (2 points) ∵ A3 = - 4, a7 = 4, 4D = a7-a3 = 8 ∵ d = 2 ∵ an = A3 + (n-3) d = - 4 + 2 (n-3) = 2n-10 (6 points) (II) when 1 ≤ n ≤ 5, TN = | A1 | + | A2 | + +|an|=-(a1+a2+… an)=-−8...