// Numbas version: exam_results_page_options
{"name": "Arithmetic series 5", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["upsum", "coeff", "const", "ans"], "name": "Arithmetic series 5", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "<p>We can manipulate the equation like so: $\\sum\\limits_{r=1}^\\var{upsum} (\\simplify{{coeff}r+{const}})=\\var{coeff}\\sum\\limits_{r=1}^\\var{upsum}r+\\sum\\limits_{r=1}^\\var{upsum}\\var{const}=\\var{coeff}\\times \\frac{\\var{upsum}(\\var{upsum}+1)}{2} + \\var{upsum}\\times \\var{const}$</p>", "rulesets": {}, "parts": [{"prompt": "<p>Calculate $\\sum\\limits_{r=1}^\\var{upsum} (\\simplify{{coeff}r+{const}})$</p>", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans}", "minValue": "{ans}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "statement": "", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"coeff": {"definition": "random(2..5)", "templateType": "anything", "group": "Ungrouped variables", "name": "coeff", "description": ""}, "const": {"definition": "random(-2..2 except 0)", "templateType": "anything", "group": "Ungrouped variables", "name": "const", "description": ""}, "upsum": {"definition": "random(6..10)", "templateType": "anything", "group": "Ungrouped variables", "name": "upsum", "description": ""}, "ans": {"definition": "coeff*upsum*(upsum+1)/2 + upsum*const", "templateType": "anything", "group": "Ungrouped variables", "name": "ans", "description": ""}}, "metadata": {"notes": "", "description": "", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "joshua boddy", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/557/"}]}]}], "contributors": [{"name": "joshua boddy", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/557/"}]}