<span>Let n, n+2, and n+4 represent the three consecutive even integers. Or 2 in your case</span>
The recursive formula for this sequence is
= -7;
=
+ 10
Step-by-step explanation:
The recursive formula of the arithmetic sequence is:
= first term;
=
+ d
is the first term in the sequence
is the nth term in the sequence
the term before the nth term - n is the term number
- d is the common difference
∵ The sequence is -7 , 3 , 13 , 23 , 33 , 43 , ........
∵ 3 - (-7) = 3 + 7 = 10
∵ 13 - 3 = 10
∵ 23 - 13 = 10
- There is a constant difference 10 between the consecutive terms
∴ The sequence is an arithmetic sequence
∵ The first term is -7
∴
= 7
∵ The common difference is 10
∴ d = 10
- Substitute in the formula above
by -7 and d by 10
∴
= -7;
=
+ 10
To check the formula find the second term
∵ n = 2
∴
= -7;
=
+ 10
∴
=
+ 10
∵
= -7
∴
= -7 + 10 = 3 which is right
The recursive formula for this sequence is
= -7;
=
+ 10
Learn more:
You can learn more about the sequences in brainly.com/question/7221312
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Answer:
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Step-by-step explanation:
<h2>Answer</h2>
<u>Strong, negative correlation.</u>
<h2>Explanation</h2>
So with correlations, they have two categories that they fall under.
Firstly, they either fall under <u>positive</u> or <u>negative</u> correlation. It's as it seems: positive correlation coefficients are positive numbers, negative correlation coefficients are negative numbers. In this case, our correlation is <u>negative</u>.
Next, they either fall under <u>weak</u> or <u>strong</u> correlation. If the absolute value of the correlation coefficient is closer to zero, then it's considered a weak correlation. However, if the absolute value of the correlation coefficient is closer to one, then it's considered a strong correlation. In this case, the absolute value of -0.91 is 0.91, and since that is closer to 1 this means our correlation is <u>strong</u>.