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n200080 [17]
3 years ago
5

What is the common difference between the elements of the arithmetic sequence below? –18, –22.5, –27, –31.5, –36

Mathematics
1 answer:
klasskru [66]3 years ago
4 2
<span><u>Answer </u>
Common difference = -4.5

<u>Explanation. </u>
An arithmetic sequence is a sequence in which the next term is found by adding a constant to the current term. This constant is called the common difference.
If a, b, c, d, e, ….is an arithmetic sequence, then the common difference will be,
Common difference = b-a=c-b=d-c=e-d…..
Now the question above common difference is;
Common difference = (-22.5)-(-14)=-4.5 
</span>
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Answer:

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Step-by-step explanation:

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nx=65

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1. r closest to 1: Figure 4

2. Least signs of linear relationship: Figure 1

3. r equal to -1: Figure 3

Step-by-step explanation:

Correlation is the link between two things or variables.

The scatter plots can be used to determine the correlation values for given sets of data.

If both values are increasing, then the correlation is positive

If one value is increasing and the other is decreasing then the correlation is negative

So,

In the given pictures

Figure 4 has the correlation coefficient closest to 1 as both values are increasing but the data points are not in a straight line so r will be close to 1.

Figure 3 has the correlation coefficient equal to one as one value is increasing and the other is decreasing. And the points are in a straight line so r will be equal to one.

As the data points in Figure 1 are more scattered so there will be no relationship between two quantities.

So, the answers are as follows

1. r closest to 1: Figure 4

2. Least signs of linear relationship: Figure 1

3. r equal to -1: Figure 3

Keywords: Correlation, Data set

Learn more about correlation at:

  • brainly.com/question/12884373
  • brainly.com/question/12896802

#LearnwithBrainly

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