Given:
The given geometric sequence is 128, 32, 8
We need to determine the next term of the geometric sequence.
Common ratio:
Since, it is given that the sequence is a geometric sequence, then the common ratio is given by
[tex]r=\frac{32}{128}[/tex]
[tex]r=\frac{1}{4}[/tex]
Thus, the common ratio is [tex]r=\frac{1}{4}[/tex]
Next term:
The next term of the sequence can be determined by multiplying the previous term with the common ratio.
Thus, we have;
Next term = [tex]8\times (\frac{1}{4})[/tex]
= 2
Thus, the next term is 2.
Hence, the next term of the geometric sequence is 2.
