{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"math","formal_name":"MATH","introduction":"MATH organises 12,500 high-school competition problems into seven subjects and five difficulty levels, each with a full worked solution. It underlies much of the later mathematics evaluation work; this catalogue imports the full test split: 5,000 problems across all seven subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/hendrycks/math","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"6f585924-0597-5bd0-9fe7-ebb7eccff4fd","task_key":"intermediate~5falgebra--test--6f585924-0597-5bd0-9fe7-ebb7eccff4fd","task_revision_id":"1","upstream_id":"","short_description":"The sequence $(a_n)$ is defined by $a_1 = 14$ and","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"The sequence $(a_n)$ is defined by $a_1 = 14$ and\\n\\\\[a_n = 24 - 5a_{n - 1}\\\\]for all $n \\\\ge 2.$  Then the formula for the $n$th term can be expressed in the form $a_n = p \\\\cdot q^n + r,$ where $p,$ $q,$ and $r$ are constants.  Find $p + q + r.$\",\"type\":\"Intermediate Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}