{"status": "success", "data": {"description_md": "**POTD Challenge December 22, 2023**\n\nLet $a_n = 1-\\frac{2n^2}{1+\\sqrt{1+4n^4}}$ for all $n \\in \\mathbb{Z}^+$.\n\nFind the value of $\\sqrt{a_1}+2\\sqrt{a_2}+...+20\\sqrt{a_{20}}$.", "description_html": "<p><strong>POTD Challenge December 22, 2023</strong></p>&#10;<p>Let <span class=\"katex--inline\">a_n = 1-\\frac{2n^2}{1+\\sqrt{1+4n^4}}</span> for all <span class=\"katex--inline\">n \\in \\mathbb{Z}^+</span>.</p>&#10;<p>Find the value of <span class=\"katex--inline\">\\sqrt{a_1}+2\\sqrt{a_2}+...+20\\sqrt{a_{20}}</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 6, "problem_name": "Problem of the Day #33 (Challenge)", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}