{"status": "success", "data": {"description_md": "A sequence of natural numbers is constructed by listing the first $4$, then skipping one, listing the next $5$, skipping $2$, listing $6$, skipping $3$, and, on the $n$th iteration, listing $n+3$ and skipping $n$. The sequence begins $1,2,3,4,6,7,8,9,10,13$. What is the $500,000^{\\text{th}}$ number in the sequence?\n\n$\\textbf{(A)}\\ 996,506\\qquad\\textbf{(B)}\\ 996,507\\qquad\\textbf{(C)}\\ 996,508\\qquad\\textbf{(D)}\\ 996,509\\qquad\\textbf{(E)}\\ 996,510$", "description_html": "<p>A sequence of natural numbers is constructed by listing the first  <span class=\"katex--inline\">4</span> , then skipping one, listing the next  <span class=\"katex--inline\">5</span> , skipping  <span class=\"katex--inline\">2</span> , listing  <span class=\"katex--inline\">6</span> , skipping  <span class=\"katex--inline\">3</span> , and, on the  <span class=\"katex--inline\">n</span> th iteration, listing  <span class=\"katex--inline\">n+3</span>  and skipping  <span class=\"katex--inline\">n</span> . The sequence begins  <span class=\"katex--inline\">1,2,3,4,6,7,8,9,10,13</span> . What is the  <span class=\"katex--inline\">500,000^{\\text{th}}</span>  number in the sequence?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 996,506\\qquad\\textbf{(B)}\\ 996,507\\qquad\\textbf{(C)}\\ 996,508\\qquad\\textbf{(D)}\\ 996,509\\qquad\\textbf{(E)}\\ 996,510</span> </p>\n<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": 4, "problem_name": "2014 AMC 10A Problem 24", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc10A_p25", "prev": "/problem/14_amc10A_p23"}}