{"status": "success", "data": {"description_md": "The first three terms of an arithmetic sequence are $2x - 3$, $5x - 11$, and $3x + 1$ respectively. The $n$th term of the sequence is $2009$. What is $n$?\n\n$\\textbf{(A)}\\ 255 \\qquad \\textbf{(B)}\\ 502 \\qquad \\textbf{(C)}\\ 1004 \\qquad \\textbf{(D)}\\ 1506 \\qquad \\textbf{(E)}\\ 8037$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>The first three terms of an arithmetic sequence are  <span class=\"katex--inline\">2x - 3</span> ,  <span class=\"katex--inline\">5x - 11</span> , and  <span class=\"katex--inline\">3x + 1</span>  respectively. The  <span class=\"katex--inline\">n</span> th term of the sequence is  <span class=\"katex--inline\">2009</span> . What is  <span class=\"katex--inline\">n</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 255 \\qquad \\textbf{(B)}\\ 502 \\qquad \\textbf{(C)}\\ 1004 \\qquad \\textbf{(D)}\\ 1506 \\qquad \\textbf{(E)}\\ 8037</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2009 AMC 12A Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc12A_p08", "prev": "/problem/09_amc12A_p06"}}