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.

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