Question

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

Answer 1

Answer:

No

Step-by-step explanation:

In a geometric sequence there is a common ratio. The common ratio is the number that when multiplied by a number in the sequence gives you the next number. To find the common ratio, you divide any number by the previous number. Every division must give you the same answer, the common ratio.

Now try to find the common ratio of this sequence.

36/12 = 3

12/3 = 4

The ratios between terms are not equal. There is no common ratio.

Therefore, this sequence is not a geometric sequence.