Question

Which sequence is graphed below?

A. an = n – 2
B. an = n – 1
C. an = n + 1
D. an = n + 2

Answer 1

The answer is: [A]: " aₙ = n – 2 " .
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Explanation: "aₙ" represents "y" on the "y-axis".

"n" represents "x" on the "x-axis".
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Considering the answer choices given, one can look at the graph. When one looks at the graph, when "x = 2, y =0 " ; or, when "n = 2, aₙ = 0 ".
When examining the answer choices, we see that "{Answer choice: [A]" } is the ONLY equation given when these values fit. Furthermore, by plugging in a few more values on the line, we see that the "equation" in
"{Answer choice [A] }" makes sense.
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Answer 2

Looking at the chart you see that the initial term is -1 and each successive term is 1 more than the previous one. The rule for nth term of an arithmetic sequence is:

a(n)=a+d(n-1), a(n)=nth term, a=initial term, d=common difference, n=term number.

In this case a=-1 and d=1 so

a(n)=-1+1(n-1)

a(n)=-1+n-1

a(n)=n-2

So the correct answer is A)