Question

What is the common ratio between successive terms in the sequence
2,4,8,-16, 32, 64,

Answer 1

The sequence does not have common ratio

Explanation:

Answer 2

Answer: The sequence does not have common ratio.

Explanation:

By definition, a sequence with a constant ratio (common ratio) between terms is called a "Geometric sequence". In order to find the common ratio, it is necessary to divide any term in the sequence by the previous term.

In this case, given the sequence:

`2,4,8,-16, 32, 64,`

We get:

`4/2=2\\\\8/4=2\\\\-16/8=-2\\\\32/(-16)=-2\\\\64/32=2`

Since the ratios between the terms are not constant, we can conclude that the sequence does not have common ratio.