{"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>&#10;<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>&#10;", "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"}}