The value of the product expression is –6p^3 + 8p^2 – 10p
<h3>How to simplify the product?</h3>
The product expression is given as:
2p(–3p2 + 4p – 5)
Rewrite properly as:
2p(–3p^2 + 4p – 5)
Remove the bracket
2p * –3p^2 + 2p * 4p – 2p * 5
Evaluate the products
–6p^3 + 8p^2 – 10p
Hence, the value of the product expression is –6p^3 + 8p^2 – 10p
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Answer:
7
Step-by-step explanation:
13-6=7 the other line doesn't affect the answer because it isn't negative
Answer:
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Step-by-step explanation:
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Answer:
A
Step-by-step explanation:
Honestly, I’m not sure, but it’s the only one that made the most sense to me.
Hopefully This Helps, good luck!
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.
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