Find all integers n with n≥4 for which there exists a sequence of distinct real numbers x1,…,xn such that each of the sets {x1,x2,x3},{x2,x3,x4},…,{xn−2,xn−1,xn},{xn−1,xn,x1}, and {xn,x1,x2} forms a 3-term arithmetic progression when arranged in increasing order.