Can you answer number 14 please?

Let V be the space of all infinite sequences of real num- bers. See Example 5. Which of the subsets of V given in Exercises 12 through 15 are subspaces of V? 12. The arithmetic sequences [i.e., sequences of the form (a, a + k, a + 2k, a + 3k, ...), for some constants a and k] 13. The geometric sequences li.e., sequences of the form (a, ar, ar , ar', . . .), for some constants a and r 14. The sequences (x0, x1, ...) that converge to zero (i.e., lim Xn = 0)