{"status": "success", "data": {"description_md": "If the value of $$\\large\\sum^\\infty_{n=1}\\dfrac{1}{n(n+1)(n+2)(n+3)}$$ can be expressed as $\\frac{a}b$, where $a$ and $b$ are relatively prime, positive integers, find $a+b$.", "description_html": "<p>If the value of <span class=\"katex--display\">\\large\\sum^\\infty_{n=1}\\dfrac{1}{n(n+1)(n+2)(n+3)}</span> can be expressed as <span class=\"katex--inline\">\\frac{a}b</span>, where <span class=\"katex--inline\">a</span> and <span class=\"katex--inline\">b</span> are relatively prime, positive integers, find <span class=\"katex--inline\">a+b</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Astronomy II", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}