In the sequence x_0, x_1, x_2, ... , x_n, each term from x_1 to x_k is 3 greater than the previous term, and each term from x_k+1 to x_n is 3 less than the previous term, where n and k are positive integers and k < n. If x_0 = x_{n} = 0 and if x_{k} = 15 , what is the value of n?