{"status": "success", "data": {"description_md": "The first term of a sequence is $2005$. Each succeeding term is the sum of the cubes of the digits of the previous term. What is the $2005^{\\text{th}}$ term of the sequence?\n\n$\\mathrm{(A)}\\ {{{29}}} \\qquad \\mathrm{(B)}\\ {{{55}}} \\qquad \\mathrm{(C)}\\ {{{85}}} \\qquad \\mathrm{(D)}\\ {{{133}}} \\qquad \\mathrm{(E)}\\ {{{250}}}$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>The first term of a sequence is <span class=\"katex--inline\">2005</span>. Each succeeding term is the sum of the cubes of the digits of the previous term. What is the <span class=\"katex--inline\">2005^{\\text{th}}</span> term of the sequence?</p>&#10;<p><span class=\"katex--inline\">\\mathrm{(A)}\\ {{{29}}} \\qquad \\mathrm{(B)}\\ {{{55}}} \\qquad \\mathrm{(C)}\\ {{{85}}} \\qquad \\mathrm{(D)}\\ {{{133}}} \\qquad \\mathrm{(E)}\\ {{{250}}}</span></p>&#10;<hr/>&#10;<p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2005 AMC 12B Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc12B_p11", "prev": "/problem/05_amc12B_p09"}}