2)Perimeter=28 rounded to 30. Area=48 rounded up to 50.
Answer:
Step-by-step explanation:
Recall that the ratio test is stated as follows:
Given a series of the form ![\sum_{n=1}^{\infty} a_n let L=\lim_{n\to \infty}\left|\frac{a_{n+1}}{a_n}\right|](https://tex.z-dn.net/?f=%5Csum_%7Bn%3D1%7D%5E%7B%5Cinfty%7D%20a_n%20let%20L%3D%5Clim_%7Bn%5Cto%20%5Cinfty%7D%5Cleft%7C%5Cfrac%7Ba_%7Bn%2B1%7D%7D%7Ba_n%7D%5Cright%7C)
If L<1, then the series converge absolutely, if L>1, then the series diverge. If L fails to exist or L=1, then the test is inconclusive.
Consider the given series
. In this case,
, so , consider the limit
![\lim_{n\to\infty} \frac{(n+1)! 112 (n+1)}{n! 112 n} = \lim_{n\to\infty}\frac{(n+1)^2}{n}](https://tex.z-dn.net/?f=%5Clim_%7Bn%5Cto%5Cinfty%7D%20%5Cfrac%7B%28n%2B1%29%21%20112%20%28n%2B1%29%7D%7Bn%21%20112%20n%7D%20%3D%20%5Clim_%7Bn%5Cto%5Cinfty%7D%5Cfrac%7B%28n%2B1%29%5E2%7D%7Bn%7D)
Since the numerator has a greater exponent than the numerator, the limit is infinity, which is greater than one, hence, the series diverge by the ratio test
Answer:
2916 cm
Step-by-step explanation:
In area you have to multiply
So all I did was
18x18x9
which equals 2916
Answer:
A. 20,000 square feet
Step-by-step explanation:
The description is that of a rectangle 200 ft long and 100 ft wide. The area is the product of those dimensions:
area = (200 ft)(100 ft) = 20,000 ft²
The answer is C since the 1 in the square root is a horizontal shift to the left by one and a vertical shift up by 7