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Dovator [93]
4 years ago
10

What is the next fraction of 1/3, 2/9, 4/27, 8/81

Mathematics
2 answers:
amm18124 years ago
7 0
24/243 cuz keft side gets doubled and right side gets trippled
Basile [38]4 years ago
5 0
 The answer would be 16/243; since the numerator is being multiplied by 2 every time and the denominator is being multiplied by 3 each time.
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Determine if the following infinite series converges or diverges
Mandarinka [93]

Using limits, it is found that the infinite sequence converges, as the limit does not go to infinity.

<h3>How do we verify if a sequence converges of diverges?</h3>

Suppose an infinity sequence defined by:

\sum_{k = 0}^{\infty} f(k)

Then we have to calculate the following limit:

\lim_{k \rightarrow \infty} f(k)

If the <u>limit goes to infinity</u>, the sequence diverges, otherwise it converges.

In this problem, the function that defines the sequence is:

f(k) = \frac{k^3}{k^4 + 10}

Hence the limit is:

\lim_{k \rightarrow \infty} f(k) = \lim_{k \rightarrow \infty} \frac{k^3}{k^4 + 10} = \lim_{k \rightarrow \infty} \frac{k^3}{k^4} = \lim_{k \rightarrow \infty} \frac{1}{k} = \frac{1}{\infty} = 0

Hence, the infinite sequence converges, as the limit does not go to infinity.

More can be learned about convergent sequences at brainly.com/question/6635869

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6 0
2 years ago
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Nezavi [6.7K]

Answer:

c) 72

Step-by-step explanation:

multiply 18 by 4

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3 years ago
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galina1969 [7]

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B. earned

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Paladinen [302]

Answer:

I do not know

Step-by-step explanation:

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Hope this helps!

Step-by-step explanation:

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