Which of the following sequences are in G.P.? (iii) 0.5, 0.05, 0.005,…

Which of the following sequences are in G.P.?
(iii) 0.5, 0.05, 0.005,…
Solution :
First term (a)  = 0.5, common ratio
r  = t2/t1
  =  0.05/0.5
r  = 0.1
r  = t2/t1
  =  0.005/0.05
r = 0.1

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

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