From the information provided, we know that the first subscriber came after two weeks. This means as at the 20th week, your blog would have been growing for 18 weeks. Also take note that the first term in this sequence is 1, and the common ratio is 3. We know this because the number of subscribers triples each week after the first subscriber.
Therefore, for the geometric sequence, we have the following;
![\begin{gathered} a_1=1 \\ r=3 \\ \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20a_1%3D1%20%5C%5C%20r%3D3%20%5C%5C%20%20%5Cend%7Bgathered%7D)
The nth term of a geometric progression is given as;
![a_n=ar^{n-1}](https://tex.z-dn.net/?f=a_n%3Dar%5E%7Bn-1%7D)
For the 18th term, which is the number of subscribers after the 20th week, we would have;
![\begin{gathered} a_{18}=a\times r^{18-1} \\ a_{18}=1\times3^{17} \\ a_{18}=129,140,163 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20a_%7B18%7D%3Da%5Ctimes%20r%5E%7B18-1%7D%20%5C%5C%20a_%7B18%7D%3D1%5Ctimes3%5E%7B17%7D%20%5C%5C%20a_%7B18%7D%3D129%2C140%2C163%20%5Cend%7Bgathered%7D)
ANSWER:
This means 20 weeks after the blog was created, you now have
129,140,163 subscribers
Answer:
-960
Step-by-step explanation:
5+43=48
3-23=-20
48*-20=-960
Given:
The two points on the graph.
To find:
The distance between the two points in simplest radical form.
Solution:
From the given graph, it is clear that the two points on the graph are (-9,3) and (-3,-2).
Distance formula:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:
![d=\sqrt{(-3-(-9))^2+(-2-3)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-3-%28-9%29%29%5E2%2B%28-2-3%29%5E2%7D)
![d=\sqrt{(-3+9)^2+(-5)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-3%2B9%29%5E2%2B%28-5%29%5E2%7D)
![d=\sqrt{(6)^2+(-5)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%286%29%5E2%2B%28-5%29%5E2%7D)
On further simplification, we get
![d=\sqrt{36+25}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B36%2B25%7D)
![d=\sqrt{61}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B61%7D)
Therefore, the distance between the given points is
units.
<span>A. y = 0.65x
other options are wrong
</span>