{"status": "success", "data": {"description_md": "**POTD January 10, 2024**\n\nLet there be a sequence $a_n$ that satisfies $a_1 = 1$, and $7^{(a_{n + 1} - a_n)} - 1 = \\frac{1}{n + \\frac{2}{5}}$. Compute $a_{3361}$.", "description_html": "<p><strong>POTD January 10, 2024</strong></p>&#10;<p>Let there be a sequence <span class=\"katex--inline\">a_n</span> that satisfies <span class=\"katex--inline\">a_1 = 1</span>, and <span class=\"katex--inline\">7^{(a_{n + 1} - a_n)} - 1 = \\frac{1}{n + \\frac{2}{5}}</span>. Compute <span class=\"katex--inline\">a_{3361}</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "Problem of the Day #36", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}