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Answer:
The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
Step-by-step explanation:
Given the sequence
9, 17, 25, 33
a₁ = 9
<em>Determining the common difference</em>
d = 17-9 = 8
d = 25-17 = 8
d = 33-25 = 8
As the common difference between the adjacent terms is same and equal to
d = 8
Therefore, the given sequence is an Arithmetic sequence.
An arithmetic sequence has a constant difference 'd' and is defined by
substituting a₁ = 9, d = 8 in the equation
Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
Okay so the equation given to you, tells you that the slope must be 4. The line must pass through the point (4,8). so, you have to put it into point-slope form in order to find your answer. the equation for point slope form is y-y1 =m(x-x1). in the equation, y1 and x1 are given in the point (4,8), so you point slope equation will be y-8=4(x-4). then you solve the equation. hope this helps! :)
