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:
[tex]2,4,8,-16, 32, 64,[/tex]
We get:
[tex]4\div2=2\\\\8\div4=2\\\\-16\div8=-2\\\\32\div(-16)=-2\\\\64\div32=2[/tex]
Since the ratios between the terms are not constant, we can conclude that the sequence does not have common ratio.
