Question

Which set of numbers is a geometric sequence?

2, 3.5, 4, 5.5,
4, 12, 36, 108,
35, 29, 23, 17,
256, 64, 16, 8,

Answer 1

i believe the answer is the second option because they are all divisible by 4. Hope i helped.

Answer 2

4, 12, 36, 108 is set of geometric sequence.

Explanation:

Given : geometric sequence.

To find : Which set of numbers is a geometric sequence.

Solution : We have given geometric sequence.

In a Geometric Sequence each term is found by multiplying the previous term by a constant.

Like : {a, ar, ar², ar³, ... }, where , a = first term , r = common ration .

We can see sequence 4, 12, 36, 108 in form of 4 , 4*3 , 4 (3)² , 4( 3)³.

Here, common ration is 3.

Therefore, 4, 12, 36, 108 is set of geometric sequence.