Which of the following sequences are in G.P.? (v) 1, −5, 25, −125,…

Which of the following sequences are in G.P.?
(v)  1, −5, 25, −125,…
Solution :
First term (a)  = 1/3, common ratio
r  = t2/t1
  =  -5/1
r  = -5
r  = t2/t1
  =  25/(-5)
r = -5

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

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