The answer is 75 liters per 100km. If you divide 340 by 100 you get 3.4 and then divide 255 by 3.4 you get 75.
Answer:
The sequence converges to infinity.
Step-by-step explanation:
![a_n = \frac{n^3 - n}{n^2 + 5n}\\\\ \lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{n^3 - n}{n^2 + 5n}](https://tex.z-dn.net/?f=a_n%20%3D%20%5Cfrac%7Bn%5E3%20-%20n%7D%7Bn%5E2%20%2B%205n%7D%5C%5C%5C%5C%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20a_n%20%20%3D%20%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7Bn%5E3%20-%20n%7D%7Bn%5E2%20%2B%205n%7D)
![= \lim_{n \to \infty} \frac{n(n^2 - 1)}{n(n + 5)} \\\\= \lim_{n \to \infty} \frac{(n^2 - 1)}{(n + 5)}\\\\= \lim_{n \to \infty} \frac{n(n - \frac{1}{n})}{n(1 + \frac{5}{n})}\\\\= \lim_{n \to \infty} \frac{(n - \frac{1}{n})}{(1 + \frac{5}{n})}](https://tex.z-dn.net/?f=%3D%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7Bn%28n%5E2%20-%201%29%7D%7Bn%28n%20%2B%205%29%7D%20%5C%5C%5C%5C%3D%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7B%28n%5E2%20-%201%29%7D%7B%28n%20%2B%205%29%7D%5C%5C%5C%5C%3D%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7Bn%28n%20-%20%5Cfrac%7B1%7D%7Bn%7D%29%7D%7Bn%281%20%2B%20%5Cfrac%7B5%7D%7Bn%7D%29%7D%5C%5C%5C%5C%3D%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7B%28n%20-%20%5Cfrac%7B1%7D%7Bn%7D%29%7D%7B%281%20%2B%20%5Cfrac%7B5%7D%7Bn%7D%29%7D)
![denominator = \lim_{n \to \infty} 1 + \frac{5}{n} = 1 + \lim_{n \to \infty} \frac{5}{n} = 1+0 = 1](https://tex.z-dn.net/?f=denominator%20%3D%20%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%201%20%2B%20%5Cfrac%7B5%7D%7Bn%7D%20%3D%201%20%2B%20%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7B5%7D%7Bn%7D%20%3D%201%2B0%20%3D%201)
![numerator = \lim_{n \to \infty} n - \frac{1}{n} = \infty](https://tex.z-dn.net/?f=numerator%20%3D%20%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20n%20-%20%5Cfrac%7B1%7D%7Bn%7D%20%3D%20%5Cinfty)
Therefore,
![\lim_{n \to \infty} a_n = \frac{ \infty}{1} = \infty](https://tex.z-dn.net/?f=%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20a_n%20%20%3D%20%5Cfrac%7B%20%5Cinfty%7D%7B1%7D%20%3D%20%5Cinfty)
Answer:
18 is b I think..........
The Triangle sum theorem states that the sum measures of the interior angles of a triangle is 180 degree
<em><u>Solution:</u></em>
We know that,
The Triangle Sum Theorem states that if you add all three interior angles, those are the angles inside the triangle, they would always add up to 180 degrees.
It is easy to remember that we add the three angle measurements to get 180 degrees because of the word sum in the name of the theorem. To make it short and sweet:
Consider a triangle with interior angles a, b, and c. Then we can say,
![\angle a+\angle b+\angle c=180^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20a%2B%5Cangle%20b%2B%5Cangle%20c%3D180%5E%7B%5Ccirc%7D)
The Triangle Sum Theorem is also called the Triangle Angle Sum Theorem or Angle Sum Theorem
Answer:
I dont no :)
Step-by-step explanation:
lol