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1 answer:
Answer:
<em>D. y = -6x + 38</em>
Step-by-step explanation:
<u>Equation of a sequence</u>
We are given the following sequence of numbers corresponding to the positions x={1,2,3,4,5,...}
y={32,26,20,14,8....}
To find the equation of the sequence, we must recall the general term of a sequence is:
Where r is the common difference between two consecutive terms, an and a1 are the x-th and the first terms respectively.
We can find the value of r by subtracting any pair of consecutive terms:
r = 26-32 = 20-26 = 14-20 = -6
Now we apply the formula:
y=32+(x-1).(-6)
Operating:
y=32-6x+6
y = -6x + 38
Answer:
D. y = -6x + 38
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Step-by-step explanation:
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