The correct statement is that the terms are
A. The next three numbers are 1/8, 1/32, and 1/128.
B. The next three-term will be 9, 13.5, and 20.5.
What are sequence and series?
A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after. A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.
Given
A. 32, 8, 2, 1/2, ...
B. 16/9, 8/3, 4, 6, ...
How to find the next three numbers?
A. 32, 8, 2, 1/2... can be expressed as [tex]2^{2n - 1}[/tex]
Then For n= -1, -2, and -3, Then the next three numbers will be
[tex]2^{-2 - 1} \ \ \ \ \ , \ 2^{-4 - 1} \ \ \ \ \ , \ 2^{-6 - 1}\\\dfrac{1}{8} \ \ \ \ \ \ \ \ \ \ \ , \dfrac{1}{32} \ \ \ \ \ \ \ \ \ \ , \dfrac{1}{128}[/tex]
The next three numbers are 1/8, 1/32, and 1/128.
B. 16/9, 8/3, 4, 6... each term increases by 2/4. So the next three-term will be 9, 13.5, and 20.5.
Thus, the terms are 9, 13.5, and 20.5.
More about the sequence and the series link is given below.
https://brainly.com/question/8195467
