// Numbas version: finer_feedback_settings
{"name": "Encontrar el t\u00e9rmino de una sucesi\u00f3n usando la f\u00f3rmula dada...", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Encontrar el t\u00e9rmino de una sucesi\u00f3n usando la f\u00f3rmula dada...", "tags": [], "metadata": {"description": "<p>Dada una f&oacute;rmula para una secuencia, calcula un t&eacute;rmino dado.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "", "advice": "<h4></h4>\n<h4></h4>\n<p>Sustituye $n = \\var{n}$ en la f&oacute;rmula de la secuencia.</p>\n<p>\\[\\]</p>\n<p>\\begin{align}<br/>a_n &amp;= \\frac{\\var{a}n(n+\\var{b})}{\\var{c}} \\\\[0.5em]<br/>a_{\\var{n}}&amp;= \\simplify[]{ ({a}*{n}*({n}+{b}))/{c} } \\\\[0.5em]<br/>&amp;=\\var{a*n*(n+b)/c}<br/>\\end{align}</p>\n<p></p>", "rulesets": {}, "extensions": [], "variables": {"n": {"name": "n", "group": "Ungrouped variables", "definition": "random(3..9 except 5)*c", "description": "", "templateType": "anything"}, "c": {"name": "c", "group": "seq' eqn' question c)", "definition": "random(2..5)", "description": "", "templateType": "anything"}, "a": {"name": "a", "group": "seq' eqn' question c)", "definition": "random(2..5)", "description": "", "templateType": "anything"}, "b": {"name": "b", "group": "seq' eqn' question c)", "definition": "random(2..7)c", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["n"], "variable_groups": [{"name": "seq' eqn' question c)", "variables": ["a", "b", "c"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Encontraer el t&eacute;rmino $\\var{n}^\\text{th}$ de la secuencia mediante la f&oacute;rmula:&nbsp;</p>\n<p>\\[a_n=\\frac{\\var{a}n(n+\\var{b})}{\\var{c}}\\]</p>\n<p>$a_{\\var{n}}=$ [[0]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "1", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "a*n*(n+b)/c", "maxValue": "a*n*(n+b)/c", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question", "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Luis Hernandez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2870/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Luis Hernandez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2870/"}]}