Which of the following sequences are in G.P.? (i) 3, 9, 27, 81,…

Which of the following sequences are in G.P.?
(i) 3, 9, 27, 81,…
Solution :
First term (a)  = 3, common ratio
r  = t2/t1
  =  9/3
r = 3
r  = t3/t2
  =  27/9
r = 3
r  = t2/t1
  =  81/27
r = 3

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

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