The sequence 
diverges.
For given question,
We have been given a sequence
We need to determine whether the sequence converges or diverges.
From given sequence we have, 
We use Ratio Test.
According to Ratio Test, 
, where sequence converges if and only if |r| < 1.
Consider,
![\lim_{n \to \infty} |\frac{a_{n+1}}{a_n} |\\\\= \lim_{n \to \infty} |\frac{\frac{(n+1)^2}{(n+1)^3+5(n+1)}}{\frac{n^2}{n^3+5n}} |\\\\\\= \lim_{n \to \infty} |\frac{(n+1)^2(n^3+5n)}{n^2[(n+1)^3+5(n+1)]} |\\\\=\infty](https://tex.z-dn.net/?f=%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%7C%5Cfrac%7Ba_%7Bn%2B1%7D%7D%7Ba_n%7D%20%7C%5C%5C%5C%5C%3D%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%7C%5Cfrac%7B%5Cfrac%7B%28n%2B1%29%5E2%7D%7B%28n%2B1%29%5E3%2B5%28n%2B1%29%7D%7D%7B%5Cfrac%7Bn%5E2%7D%7Bn%5E3%2B5n%7D%7D%20%7C%5C%5C%5C%5C%5C%5C%3D%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%7C%5Cfrac%7B%28n%2B1%29%5E2%28n%5E3%2B5n%29%7D%7Bn%5E2%5B%28n%2B1%29%5E3%2B5%28n%2B1%29%5D%7D%20%7C%5C%5C%5C%5C%3D%5Cinfty)
Since 
is not defined, the sequence diverges.
Therefore, the sequence diverges.
Learn more about the sequence here:
brainly.com/question/17175513
#SPJ4
Answer:
Adam smith
he is known as father of economics.
hope it helps
Answer:
Y= 1/5x + 3
Step-by-step explanation:
Hope it helps
Answer:
I believe the answer is C
Step-by-step explanation:
I took the test
Hope this helps!!
:o)
Reflection across y=-2 followed by a translation 2 units up
