// Numbas version: finer_feedback_settings
{"name": "Sequences 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {"cube": {"definition": "a^3", "type": "number", "language": "jme", "parameters": [["a", "number"]]}, "square": {"definition": "a^2", "type": "number", "language": "jme", "parameters": [["a", "number"]]}}, "ungrouped_variables": ["start", "a1", "n", "b1", "c1", "d1", "a2", "b2", "a3", "a4", "a5", "ans11", "ans12", "b3", "b4", "b5", "ans21", "ans22", "c2", "c3", "c4", "c5", "ans31", "ans32", "d2", "d3", "d4", "d5", "ans41", "ans42", "ans13", "ans23", "ans24", "ans43", "ans33", "ans14", "ans44"], "name": "Sequences 1", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "<p>Part a</p>\n<p>Sequence is &nbsp;\" add the 2 gaps between the previous 3 numbers&nbsp;\"</p>\n<p>1, 1, 2, 3, 5, 8, 13, 21, 34</p>\n<p>Part b</p>\n<p>Sequence is &nbsp;\" add the 2 gaps between the previous 3 numbers&nbsp;\"</p>\n<p>0, 1, 1, 2, 3, 5, 8, 13, 21</p>\n<p>Part c</p>\n<p>Sequence is &nbsp;\" add the 2 gaps between the previous 3 numbers&nbsp;\"</p>\n<p>3, 1, 4, 5, 9, 14, 23, 37</p>\n<p>Part d</p>\n<p>Sequence is &nbsp;\" add the 2 gaps between the previous 3 numbers &nbsp;and change the sign every second number\"</p>\n<p>-6, 2, -8, 10, -18, 28, -46, 74</p>\n<p></p>\n<p></p>", "rulesets": {}, "parts": [{"prompt": "<p>$\\var{a1},\\var{a2},\\var{a3},\\var{a4},\\var{a5},\\var{ans11}$,[[0]],[[1]],[[2]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{ans12}", "minValue": "{ans12}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{ans13}", "minValue": "{ans13}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{ans14}", "minValue": "{ans14}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>$\\var{b1},\\var{b2},\\var{b3},\\var{b4},\\var{b5},\\var{ans21}$,[[0]],[[1]],[[2]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{ans22}", "minValue": "{ans22}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{ans23}", "minValue": "{ans23}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{ans24}", "minValue": "{ans24}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>$\\var{c1},\\var{c2},\\var{c3},\\var{c4},\\var{c5},$[[0]],[[1]],[[2]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{ans31}", "minValue": "{ans31}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{ans32}", "minValue": "{ans32}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{ans33}", "minValue": "{ans33}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>$\\var{d1},\\var{d2},\\var{d3},\\var{d4},\\var{d5},\\var{ans41}$,[[0]],[[1]],[[2]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{ans42}", "minValue": "{ans42}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{ans43}", "minValue": "{ans43}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{ans44}", "minValue": "{ans44}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>For each of the following sequences write down the next three terms.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"d3": {"definition": "d2+2", "templateType": "anything", "group": "Ungrouped variables", "name": "d3", "description": ""}, "b4": {"definition": "b3+1", "templateType": "anything", "group": "Ungrouped variables", "name": "b4", "description": ""}, "b5": {"definition": "b4+2", "templateType": "anything", "group": "Ungrouped variables", "name": "b5", "description": ""}, "b1": {"definition": "start[1] +n[1]", "templateType": "anything", "group": "Ungrouped variables", "name": "b1", "description": ""}, "b2": {"definition": "b1+0", "templateType": "anything", "group": "Ungrouped variables", "name": "b2", "description": ""}, "b3": {"definition": "b2+1", "templateType": "anything", "group": "Ungrouped variables", "name": "b3", "description": ""}, "d4": {"definition": "d3-8", "templateType": "anything", "group": "Ungrouped variables", "name": "d4", "description": ""}, "ans24": {"definition": "ans23+13", "templateType": "anything", "group": "Ungrouped variables", "name": "ans24", "description": ""}, "ans23": {"definition": "ans22+8", "templateType": "anything", "group": "Ungrouped variables", "name": "ans23", "description": ""}, "ans22": {"definition": "ans21+5", "templateType": "anything", "group": "Ungrouped variables", "name": "ans22", "description": ""}, "ans21": {"definition": "b5+3", "templateType": "anything", "group": "Ungrouped variables", "name": "ans21", "description": ""}, "d1": {"definition": "start[3] +n[3]", "templateType": "anything", "group": "Ungrouped variables", "name": "d1", "description": ""}, "d5": {"definition": "d4+10", "templateType": "anything", "group": "Ungrouped variables", "name": "d5", "description": ""}, "d2": {"definition": "d1-6", "templateType": "anything", "group": "Ungrouped variables", "name": "d2", "description": ""}, "ans41": {"definition": "d5-18", "templateType": "anything", "group": "Ungrouped variables", "name": "ans41", "description": ""}, "ans43": {"definition": "ans42-46", "templateType": "anything", "group": "Ungrouped variables", "name": "ans43", "description": ""}, "ans42": {"definition": "ans41+28", "templateType": "anything", "group": "Ungrouped variables", "name": "ans42", "description": ""}, "start": {"definition": "shuffle([0,0,0,0,0,0,0,0,0,0])[0..10]", "templateType": "anything", "group": "Ungrouped variables", "name": "start", "description": ""}, "ans12": {"definition": "ans11+8", "templateType": "anything", "group": "Ungrouped variables", "name": "ans12", "description": ""}, "ans13": {"definition": "ans12+13", "templateType": "anything", "group": "Ungrouped variables", "name": "ans13", "description": ""}, "a3": {"definition": "a2+1", "templateType": "anything", "group": "Ungrouped variables", "name": "a3", "description": ""}, "a2": {"definition": "a1 +1", "templateType": "anything", "group": "Ungrouped variables", "name": "a2", "description": ""}, "a5": {"definition": "a4+3", "templateType": "anything", "group": "Ungrouped variables", "name": "a5", "description": ""}, "a4": {"definition": "a3+2", "templateType": "anything", "group": "Ungrouped variables", "name": "a4", "description": ""}, "ans14": {"definition": "ans13+21", "templateType": "anything", "group": "Ungrouped variables", "name": "ans14", "description": ""}, "c3": {"definition": "c2+1", "templateType": "anything", "group": "Ungrouped variables", "name": "c3", "description": ""}, "ans31": {"definition": "c5+9", "templateType": "anything", "group": "Ungrouped variables", "name": "ans31", "description": ""}, "ans32": {"definition": "ans31+14", "templateType": "anything", "group": "Ungrouped variables", "name": "ans32", "description": ""}, "ans33": {"definition": "ans32+23", "templateType": "anything", "group": "Ungrouped variables", "name": "ans33", "description": ""}, "c5": {"definition": "c4+5", "templateType": "anything", "group": "Ungrouped variables", "name": "c5", "description": ""}, "c4": {"definition": "c3+4", "templateType": "anything", "group": "Ungrouped variables", "name": "c4", "description": ""}, "a1": {"definition": "start[0] +n[0]", "templateType": "anything", "group": "Ungrouped variables", "name": "a1", "description": ""}, "n": {"definition": "shuffle(1..5)[0..10]", "templateType": "anything", "group": "Ungrouped variables", "name": "n", "description": ""}, "ans11": {"definition": "a5+5", "templateType": "anything", "group": "Ungrouped variables", "name": "ans11", "description": ""}, "ans44": {"definition": "ans43+74", "templateType": "anything", "group": "Ungrouped variables", "name": "ans44", "description": ""}, "c1": {"definition": "start[2]+n[2]", "templateType": "anything", "group": "Ungrouped variables", "name": "c1", "description": ""}, "c2": {"definition": "c1+3", "templateType": "anything", "group": "Ungrouped variables", "name": "c2", "description": ""}}, "metadata": {"description": "<p>Sequences, including Fibonnacci</p>\n<p>By rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Mark Hodds", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/510/"}]}]}], "contributors": [{"name": "Mark Hodds", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/510/"}]}