Asked by eee
an = 9 + (n−1)(2)
The rate of change of this linear function is the rate of change of this arithmetic sequence.
The rate of change of this linear function is the rate of change of this arithmetic sequence.
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GPT 3.5
The rate of change of a linear function is equal to the common difference of the arithmetic sequence.
In this case, the linear function is an = 9 + (n−1)(2). To find the rate of change, we can first simplify the equation:
an = 9 + 2n − 2
Next, we can rearrange the equation to isolate the term with n on one side:
an - 9 = 2n - 2
Now, we can combine like terms:
an - 2n = 9 - 2
Simplifying further:
-an = 7
Finally, we can divide both sides of the equation by -1 to solve for n:
n = -7
Therefore, the rate of change of this linear function is -7, which means that the common difference of the arithmetic sequence is -7.
In this case, the linear function is an = 9 + (n−1)(2). To find the rate of change, we can first simplify the equation:
an = 9 + 2n − 2
Next, we can rearrange the equation to isolate the term with n on one side:
an - 9 = 2n - 2
Now, we can combine like terms:
an - 2n = 9 - 2
Simplifying further:
-an = 7
Finally, we can divide both sides of the equation by -1 to solve for n:
n = -7
Therefore, the rate of change of this linear function is -7, which means that the common difference of the arithmetic sequence is -7.
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