The sequence that represents a geometric sequence can be seen in the 1st option and the 4th option in the image attached.
<h3>What is a geometric sequence?</h3>
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).
or ![\mathbf{a_n = a_{1}\times r^{n-1}}](https://tex.z-dn.net/?f=%5Cmathbf%7Ba_n%20%3D%20a_%7B1%7D%5Ctimes%20r%5E%7Bn-1%7D%7D)
![\mathbf{a_2 = a_{2-1}\times r}](https://tex.z-dn.net/?f=%5Cmathbf%7Ba_2%20%3D%20a_%7B2-1%7D%5Ctimes%20r%7D)
![\mathbf{a_2 = a_{1}\times r}](https://tex.z-dn.net/?f=%5Cmathbf%7Ba_2%20%3D%20a_%7B1%7D%5Ctimes%20r%7D)
![\mathbf{ r= \dfrac{a_2}{a_1}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%20r%3D%20%5Cdfrac%7Ba_2%7D%7Ba_1%7D%7D)
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:
brainly.com/question/1509142
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Answer:
-x<3 is the same as x>-3 because when you divide -x<3 by -1 on both sides it ends up as x>-3. (They're the same thing just one isn't simplified.)
Step-by-step explanation:
Answer:
k = 10
Step-by-step explanation:
-6k - 7 = 3 - 7k
k - 7 = 3
k = 10
Answer:
33
Step-by-step explanation:
This is very simple.First we have to subsite the value 2 into 7(x + 3) - x.Like this:
7(2 + 3) - 2
Then we have to simplify.Like this:
7(5) - 2
35 - 2
33
Hope it helped!