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.