Which of the following sequences are in G.P.? (iv) 1/3, 1/6, 1/12,.......

Which of the following sequences are in G.P.?

(iv) 1/3, 1/6, 1/12,.......

Solution :

First term (a)  = 1/3, common ratio

r  = t2/t1

  =  (1/12)/(1/6)

r = 1/2

r  = t2/t1   =  (1/6)/(1/3) r  = 1/2

r  = t2/t1   =  (1/12)/(1/6) r = 1/2

Since the common ratios are same, it is geometric sequence.