Check whether the following sequences are in A.P. (iv) -1/3, 0, 1/3, 2/3.........

Check whether the following sequences are in A.P.

(iv) -1/3, 0, 1/3, 2/3.........

Solution :

d = t2 - t1 d = 0 - (-1/3) d  = 1/3

d = t3 - t2 d = (1/3) - 0 d  = 1/3

The given sequence is an arithmetic progression.