ANSWER
The next term in the given geometric sequence is 4.
EXPLANATION
We want to find the next term in the geometric sequence
32,16,8,
We can observe that there is a common ratio of
[tex] \frac{16}{32} = \frac{1}{2} [/tex]
This implies that, we obtain the subsequent terms by multiplying the previous terms by ½.
To obtain the next term after 8, we multiply 8 by half to get.
[tex] 8 \times \frac{1}{2} = 4[/tex]
Therefore the next term is 4.
