{"status": "success", "data": {"description_md": "A sequence of real numbers, where the $n^{\\text{th}}$ term is $a_n$, has first term $a_1=6$. For all $i>3$, $a_i$ is the arithmetic mean of all the previous terms in the sequence. if $a_{2023}=69$, find $a_2+a_3$.", "description_html": "<p>A sequence of real numbers, where the <span class=\"katex--inline\">n^{\\text{th}}</span> term is <span class=\"katex--inline\">a_n</span>, has first term <span class=\"katex--inline\">a_1=6</span>. For all <span class=\"katex--inline\">i&gt;3</span>, <span class=\"katex--inline\">a_i</span> is the arithmetic mean of all the previous terms in the sequence. if <span class=\"katex--inline\">a_{2023}=69</span>, find <span class=\"katex--inline\">a_2+a_3</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Christmas Contest - Team Round - Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/christmas1_team-p16", "prev": "/problem/christmas1_team-p14"}}