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