Arrange the following statements in a chronological order.
(a) Some elements be grouped in set of three elements in the increasing order of their atomic weights in which the atomic weight of the middle element was found to be the arithmetic mean of the atomic weights of the other two elements.
(b) The physical and chemical properties of elements are periodic functions of their atomic numbers.
(c) The physical and chemical properties of elements are periodic functions of their atomic weights.
(d) When elements are arranged in the increasing order of their atomic weights, the eighth element resembles the first in physical and chemical properties just as the eighth note on a musical scale resemble the first one.