{"status": "success", "data": {"description_md": "In the sequence $2001$, $2002$, $2003$, $\\ldots$ , each term after the third is found by subtracting the previous term from the sum of the two terms that precede that term. For example, the fourth term is $2001 + 2002 - 2003 = 2000$. What is the\n\n$2004^\\textrm{th}$ term in this sequence?\n\n$\\mathrm{(A) \\ } -2004 \\qquad \\mathrm{(B) \\ } -2 \\qquad \\mathrm{(C) \\ } 0 \\qquad \\mathrm{(D) \\ } 4003 \\qquad \\mathrm{(E) \\ } 6007$\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>In the sequence  <span class=\"katex--inline\">2001</span> ,  <span class=\"katex--inline\">2002</span> ,  <span class=\"katex--inline\">2003</span> ,  <span class=\"katex--inline\">\\ldots</span>  , each term after the third is found by subtracting the previous term from the sum of the two terms that precede that term. For example, the fourth term is  <span class=\"katex--inline\">2001 + 2002 - 2003 = 2000</span> . What is the</p>&#10;<p> <span class=\"katex--inline\">2004^\\textrm{th}</span>  term in this sequence?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } -2004 \\qquad \\mathrm{(B) \\ } -2 \\qquad \\mathrm{(C) \\ } 0 \\qquad \\mathrm{(D) \\ } 4003 \\qquad \\mathrm{(E) \\ } 6007</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": 3, "problem_name": "2004 AMC 12B Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/04_amc12B_p13", "prev": "/problem/04_amc12B_p11"}}