In the sequence {an}, an = 43-3n, then when Sn takes the maximum value, n=______ .

In the sequence {an}, an = 43-3n, then when Sn takes the maximum value, n=______ .

Let an = 43-3n > 0, n < 433 = 1413, ∵ A1 = 40 > 0, so the sequence is negative from the 15th, the first 14 items are positive, and the maximum sum of the first 14 items is s 14 = (40 + 1) × 142 = 287