Let Sn be the sum of the first n terms of the arithmetic sequence {an}, S6 = 36, Sn = 324, sn-6 = 144, then n = () A. 15B. 16C. 17D. 18

Let Sn be the sum of the first n terms of the arithmetic sequence {an}, S6 = 36, Sn = 324, sn-6 = 144, then n = () A. 15B. 16C. 17D. 18

∵Sn=324,Sn-6=144,∴Sn-Sn-6=an-5+an-4+… +An = 180 and S6 = a1 + A2 + +A6 = 36, a1 + an = A2 + an-1 = A6 + an-5, 6 (a1 + an) = 36 + 180 = 216, a1 + an = 36, and D is selected from Sn = (a1 + an) N2 = 18N = 324, n = 18