If the sum of the first n terms of the arithmetic sequence {an} is Sn, and S4 = 20, sn-4 = 60, Sn = 120, then n=______ .

If the sum of the first n terms of the arithmetic sequence {an} is Sn, and S4 = 20, sn-4 = 60, Sn = 120, then n=______ .

Since S4 = 20, sn-4 - S4 = 60 - S4 = 40, sn-sn-4 = 60, х S4, sn-4-s4, sn-sn-4 form an arithmetic sequence. Since the sum of every four items in the arithmetic sequence also forms an arithmetic sequence, х n = 12, the answer is: 12