Question

Which of the following is a geometric sequence?

1,2,4,8,16....
-3,1,5,9...
4,8,24,96,480,...
O-5,0,10,25,45,...

Answer 1

Explanation:

Each term of a geometric sequence is a multiple of the previous term. For example, if the first term is 2 and the common ratio is 3, then the next term is 6; the next term is 18. And so on.

1,2,4,8,16.... fits this pattern. The first term is 1 and each succeeding term is 2 times the previous term: 1*2 = 2; 2*2 = 4; 4*2 = 8, and so on.

Answer 2

1, 2, 4, 8, 16...

Explanation:

To be a geometric sequence there must be a common ratio which basically means the number you multiply a term by to get the next one, and the common ratio must be the same between all terms. The only sequence that follows this is the first one.