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Which of the following sequences are in G.P.? (iv) 1/3, 1/6, 1/12,.......
Which of the following sequences are in G.P.?
(iv) 1/3, 1/6, 1/12,.......
Solution :
First term (a) = 1/3, common ratio
r = t
2
/t
1
= (1/12)/(1/6)
r = 1/2
r = t
2
/t
1
= (1/6)/(1/3)
r = 1/2
r = t
2
/t
1
= (1/12)/(1/6)
r = 1/2
Since the common ratios are same, it is geometric sequence.
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