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andrezito [222]
3 years ago
8

How can you use the area formula of a rectangle to find the area formula of a parallelogram

Mathematics
1 answer:
QveST [7]3 years ago
3 0

Answer:

Step-by-step explanation:

The formulas for the areas of a rectangle and a parallelogram are actually the same; both involve length and width.  

It may be easier to understand this if you draw a rectangle of width w with a drawing of a parallelogram of width underneath.  The parallelogram's ends appear slanted; they are neither vertical nor horizontal.  However, so long as you measure the length of the rectangle horizontally, all measurements are equal to each other as well as equal to the length of the rectangle.

Hence the calculated areas will be one and the same.

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4 years ago
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4 years ago
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Determine whether the sequence converges or diverges. if it converges, find the limit. (if an answer does not exist, enter dne.
Arada [10]

The sequence a_n=\frac{n^2}{n^3+5n} diverges.

For given question,

We have been given a sequence a_n=\frac{n^2}{n^3+5n}

We need to determine whether the sequence converges or diverges.

From given sequence we have, a_{n+1}=\frac{(n+1)^2}{(n+1)^3+5(n+1)}

We use Ratio Test.

According to Ratio Test, r=\frac{a_{n+1}}{a_n}, 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

Since \lim_{n \to \infty} |\frac{a_{n+1}}{a_n} | is not defined, the sequence a_n=\frac{n^2}{n^3+5n} diverges.

Therefore, the sequence a_n=\frac{n^2}{n^3+5n} diverges.

Learn more about the sequence here:

brainly.com/question/17175513

#SPJ4

4 0
2 years ago
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