The sequences are classified, respectively, as:
Geometric, Arithmetic, Neither.
<h3>What is a geometric sequence?</h3>
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
In the first sequence, we have that:
![q = \frac{45}{15} = \frac{15}{5} = \frac{5}{\frac{5}{3}} = \frac{\frac{5}{3}}{\frac{5}{9}} = 3](https://tex.z-dn.net/?f=q%20%3D%20%5Cfrac%7B45%7D%7B15%7D%20%3D%20%5Cfrac%7B15%7D%7B5%7D%20%3D%20%5Cfrac%7B5%7D%7B%5Cfrac%7B5%7D%7B3%7D%7D%20%3D%20%5Cfrac%7B%5Cfrac%7B5%7D%7B3%7D%7D%7B%5Cfrac%7B5%7D%7B9%7D%7D%20%3D%203)
Hence it is a geometric sequence.
<h3>What is an arithmetic sequence?</h3>
In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
In the second sequence, we have that:
d = -4 - 1 = 1 - 6 = 6 - 11 = 11 - 16 = -5
Hence it is an arithmetic sequence.
<h3>What about the third sequence?</h3>
![\frac{4}{3} \neq \frac{3}{2}, 1 - \frac{1}{2} \neq 2 - 1](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%20%5Cneq%20%5Cfrac%7B3%7D%7B2%7D%2C%201%20-%20%5Cfrac%7B1%7D%7B2%7D%20%5Cneq%202%20-%201)
Hence it is neither arithmetic nor geometric.
More can be learned about geometric and arithmetic sequences at brainly.com/question/11847927
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