Which of the following sequences are in G.P.? (vii) 16, 4, 1, 1/4,..........

Which of the following sequences are in G.P.?

(vii)  16, 4, 1, 1/4,..........

Solution :

First term (a)  = 16, common ratio

r  = t2/t1   =  4/16 r  = 1/4

r  = t2/t1  r  = 1/4

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