The sequence that represents a geometric sequence can be seen in the 1st option and the 4th option in the image attached.
What is a geometric sequence?
A geometric sequence is a set of integers that follows a pattern in which the following term is determined by multiplying the previous one by a factor known as the common ratio (r).
[tex]\mathbf{a_n = a_{n-1}\times r}[/tex] or [tex]\mathbf{a_n = a_{1}\times r^{n-1}}[/tex]
[tex]\mathbf{a_2 = a_{2-1}\times r}[/tex]
[tex]\mathbf{a_2 = a_{1}\times r}[/tex]
[tex]\mathbf{ r= \dfrac{a_2}{a_1}}[/tex]
From the options given, the options that have geometric sequences are:
r = (3/8)/(3/16) = (3/4)/(3/8) = 2 (proves that it is a geometric sequence)
- 3, 9, 27, 81
- r = 9/3 = 27/9 = 3 (proves that it is a geometric sequence)
Learn more about geometric sequence here:
https://brainly.com/question/1509142
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