// Numbas version: finer_feedback_settings
{"name": "Andrew's copy of Arithmetic progression: The nth term of a series", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"statement": "<p>The first three terms of a series are given by: &nbsp;</p>\n<p style=\"padding-left: 60px;\">\\(\\var{a} + \\simplify{{a}+{d}} + \\simplify{{a}+2*{d}}\\,+ \\, ...........\\)</p>", "functions": {}, "variables": {"n": {"group": "Ungrouped variables", "name": "n", "definition": "random(4..19#1)", "templateType": "randrange", "description": ""}, "d": {"group": "Ungrouped variables", "name": "d", "definition": "random(2..11#1)", "templateType": "randrange", "description": ""}, "a": {"group": "Ungrouped variables", "name": "a", "definition": "random(1..12#1)", "templateType": "randrange", "description": ""}}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Find the nth term of an Arithmetic progression</p>"}, "ungrouped_variables": ["a", "d", "n"], "advice": "<p>If the difference between successive pairs of terms is a constant then the series under examination is an arithmetic progression.</p>\n<p>Ths first term is \\(a\\) and the common difference is \\(d\\).</p>\n<p>The formula for the nth term of the series is given by: &nbsp; &nbsp;\\(T_n=a+(n-1)d\\)</p>\n<p>In this example \\(a=\\var{a}\\), &nbsp;\\(d = \\var{d}\\) &nbsp;and &nbsp;\\(n = \\var{n}\\)</p>\n<p style=\"padding-left: 30px;\">\\(T_\\var{n}=\\var{a}+\\simplify{{n}-1}*\\var{d}\\)</p>\n<p style=\"padding-left: 30px;\">\\(T_\\var{n}=\\var{a}+\\simplify{({n}-1)*{d}}\\)</p>\n<p style=\"padding-left: 30px;\">\\(T_\\var{n}=\\simplify{{a}+({n}-1)*{d}}\\)</p>", "variable_groups": [], "tags": [], "preamble": {"js": "", "css": ""}, "name": "Andrew's copy of Arithmetic progression: The nth term of a series", "rulesets": {}, "variablesTest": {"maxRuns": 100, "condition": ""}, "parts": [{"marks": 0, "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "gaps": [{"strictPrecision": false, "precision": "1", "showCorrectAnswer": true, "scripts": {}, "variableReplacements": [], "precisionPartialCredit": 0, "showPrecisionHint": true, "maxValue": "{a}+({n}-1)*{d}", "precisionMessage": "You have not given your answer to the correct precision.", "marks": 1, "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "minValue": "{a}+({n}-1)*{d}", "precisionType": "dp", "allowFractions": false, "type": "numberentry"}], "prompt": "<p>Calculate the \\(\\var{n}th\\) term of the series.</p>\n<p style=\"text-align: left; padding-left: 30px;\">\\(T_\\var{n}=\\)&nbsp;[[0]]</p>", "variableReplacementStrategy": "originalfirst", "type": "gapfill"}], "extensions": [], "type": "question", "contributors": [{"name": "Andrew Dunbar", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/770/"}], "resources": []}]}], "contributors": [{"name": "Andrew Dunbar", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/770/"}]}