Let
![r](https://tex.z-dn.net/?f=r)
be the common ratio between terms. Then
![-2.88=4r\implies r=-0.72](https://tex.z-dn.net/?f=-2.88%3D4r%5Cimplies%20r%3D-0.72)
Now denote the
![n](https://tex.z-dn.net/?f=n)
th partial sum of the series by
![S_n=4-2.88+2.0736-1.492992+\cdots+4(-0.72)^{n-1}+4(-0.72)^n](https://tex.z-dn.net/?f=S_n%3D4-2.88%2B2.0736-1.492992%2B%5Ccdots%2B4%28-0.72%29%5E%7Bn-1%7D%2B4%28-0.72%29%5En)
Multiply both sides by
![-0.72](https://tex.z-dn.net/?f=-0.72)
, then subtract from the above to get
![S_n-(-0.72S_n)=4-4(-0.72)^{n+1}](https://tex.z-dn.net/?f=S_n-%28-0.72S_n%29%3D4-4%28-0.72%29%5E%7Bn%2B1%7D)
![1.72S_n=4(1-(-0.72)^{n+1})](https://tex.z-dn.net/?f=1.72S_n%3D4%281-%28-0.72%29%5E%7Bn%2B1%7D%29)
![S_n=2.32558(1-(-0.72)^{n+1})](https://tex.z-dn.net/?f=S_n%3D2.32558%281-%28-0.72%29%5E%7Bn%2B1%7D%29)
As
![n\to\infty](https://tex.z-dn.net/?f=n%5Cto%5Cinfty)
, you're left with
There are 128 ounces in 1 gallon. 128 divided by 3 is 42.6 (the six repeats). so therefore you are adding 42.6 ounces of cleaning solution to 85.3 ounces of water
Answer:
my friend will help uuuu
Step-by-step explanation:
.07 is what I believe the answer is
Answer:
Step-by-step explanation: Slope intercept form is y=mx+b where m is the slope and b is the number determining the point in which the line starts. to solve just plug in a set of point into the formula.
y=mx+b
3=m*1+b
and so on...
hope this helps!