Which of the following sequences are in G.P.? (ii) 4,44,444,4444,...

Which of the following sequences are in G.P.?
(ii) 4,44,444,4444,...
Solution :
First term (a)  = 3, common ratio
r  = t2/t1
  =  44/4
r = 11
r  = t3/t2
  =  444/44
r = 111/11
r  = t2/t1
  =  4444/444
r = 1111/111

Since the common ratios are not same, it is not geometric sequence.

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