// Numbas version: finer_feedback_settings
{"name": "Summen av geometriske rekker", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Summen av geometriske rekker", "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Det er gitt to geometriske rekker $\\sum\\limits_{n=0}^{\\infty}\\frac{1}{\\var{a}^n}$ og $\\sum\\limits_{n=0}^{\\infty}\\frac{1}{\\var{b}^n}$ med kvotienter $r=\\frac{1}{\\var{a}}$ og $r=\\frac{1}{\\var{b}}$ henholdsvis.</p>", "advice": "", "rulesets": {}, "extensions": [], "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(2 .. 6#2)", "description": "", "templateType": "randrange"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(3 .. 7#2)", "description": "", "templateType": "randrange"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "b"], "variable_groups": [], "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>Bruk formelen $\\sum\\limits_{n=0}^{\\infty}r^na_0=\\frac{a_0}{1-r}$ for $|r|&lt;1$ og finn</p>\n<p>$\\sum\\limits_{n=0}^{\\infty}\\frac{1}{\\var{a}^n}$=[[0]]</p>\n<p>$\\sum\\limits_{n=0}^{\\infty}\\frac{1}{\\var{b}^n}$=[[1]]</p>\n<p></p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{a/(a-1)}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": []}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{b/(b-1)}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": []}], "sortAnswers": false}, {"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>Finn videre</p>\n<p>$\\sum\\limits_{n=0}^{\\infty}\\Big(\\frac{1}{\\var{a}^n}+\\frac{1}{\\var{b}^n}\\Big)=$[[0]]</p>\n<p>$\\sum\\limits_{n=0}^{\\infty}\\Big(\\frac{1}{\\var{a}^n}-\\frac{1}{\\var{b}^n}\\Big)=$[[1]]</p>\n<p>$\\sum\\limits_{n=0}^{\\infty}\\Big(\\frac{1}{\\var{a}^n}\\cdot\\frac{1}{\\var{b}^n}\\Big)=$ [[2]]</p>", "gaps": 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