Respuesta :
The common ratio of the geometric sequence is 2. then the fifth term of the geometric sequence is 6.25.
What is a sequence?
A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The given sequence is 100, 50, 25, 12.5, ...
The ratio of the terms will be
[tex]\dfrac{100}{50} = 2\\\\\\\dfrac{50}{25} = 2\\\\\\\dfrac{25}{12.5} = 2[/tex]
Then the fifth term will be
[tex]x = \dfrac{12.5}{2} = 6.25[/tex]
More about the sequence link is given below.
https://brainly.com/question/21961097