Question

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

Answer 1

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

Explanation:

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.