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:
10a²+5ab+2b²
Step-by-step explanation:
Start by combining like terms aka the ones that match:
Step 1: (4a²-5ab-6b²) + (10ab+6a²+8b²)
Step 2: (10a²-5ab-6b²) + (10ab+8b²)
Step 3: (10a²+5ab-6b²+8b²)
Final answer: 10a²+5ab+2b²
In step 1, I added the 4 and 6. In step 2, I added -5 and 10. In step 3, I added -6 and 8. For each I attached the proper ending (a², ab, and b²).
I hope this clears some confusion!
Answer: 82.25 minutes
Step-by-step explanation:
First convert the minutes she took to hours. This would be:
= 35/60
She is reading at a speed of 20 pages per 35/60 hours.
To finish 47 pages therefore, she will take:
= (47 * 35/60) / 20
= 1.37083 hours
Converted to minutes that would be:
= 1.37083 * 60 mins
= 82.25 minutes
I hope this helps you
360-x=70×2
360-x= 140
360-140=x
x= 220
Answer:
it helps us to add faster bc we can regroup numbers when we add. in the associative property, the order of the numbers don't change, only the grouping does
Step-by-step explanation:
