Question

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

Answer 1

Answer:

The sequence does not have common ratio

Step-by-step explanation:

Answer 2

Answer: The sequence does not have common ratio.

Step-by-step 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:

$4\div2=2\\\\8\div4=2\\\\-16\div8=-2\\\\32\div(-16)=-2\\\\64\div32=2$

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