Is the sequence 3, 12, 36, ... a geometric sequence?

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Answer 1 · 2015-07-02T16:01:28

Here, #r_1 != r_2#, hence the sequence is not geometric.

The sequence given is #3, 12, 36#

In a geometric sequence, a constant common ratio #r# is maintained all through out the sequence.

The common ratio, #r# is obtained by dividing a term by its preceding term

Finding #r#

1) #r_1 = 12/3= 4#

2) #r_2 = 36/12 = 3#

Since #r_1 != r_2# the sequence is not geometric.