Let the sequence {an} be defined so that a1 = 1 and each succeeding term is found by adding 3 to the one before it. Find the for
1 answer:
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Answer:
1) For :
and
, 2) For
:
and
Step-by-step explanation:
The polynomial is a second-order polynomial of the form
. By direct comparison, we construct the following system of equations:
(1)
(2)
By (1) we know that there are a family of pairs such that the system of equations is satisfied. Let suppose that both and
are integers. We assume two arbitrary integers for
:
1)
2)
The option fourth "There is a strong negative relationship between x and y" is correct.
<h3>What is correlation?</h3>It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
The options are:
- There is no relationship between x and y.
- There is a weak negative relationship between x and y.
- There is a strong positive relationship between x and y.
- There is a strong negative relationship between x and y.
We have data:
x 7 8 9 10 11 12 13
y 13 10 7 6 5 3 0
The value of correlation r = -0.9847
As we know the value of r between -1 to +1
If r = 1 (perfect and positive correlation)
if r = -1 (perfect and negative correlation)
We have r = -0.9847
The value is near to -1 which means there is a strong negative relationship between x and y.
Thus, the option fourth "There is a strong negative relationship between x and y" is correct.
Learn more about the correlation here:
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