// Numbas version: finer_feedback_settings {"name": "Quiz - Computing terms Q1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"metadata": {"licence": "None specified", "description": ""}, "variables": {"c": {"group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "random(80..100)", "name": "c"}, "d": {"group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "c-1", "name": "d"}, "b": {"group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "random(2..5)", "name": "b"}, "a": {"group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "random(2..9)", "name": "a"}, "f": {"group": "Ungrouped variables", "templateType": "anything", "description": "", "definition": "c-2", "name": "f"}}, "parts": [{"showCorrectAnswer": true, "unitTests": [], "type": "gapfill", "prompt": "
Compute the first four terms of this recurrence relation.
\nC(1) = [[0]]
\nC(2) = [[1]]
\nC(3) = [[2]]
\nC(4) = [[3]]
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\n$C(\\var{c}) = C(\\var{d}) + $[[0]]
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\n$C(\\var{c}) = C(\\var{f}) + $[[0]]
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\n\\[C(n)=\\begin{cases}\\var{b} & if & n=1\\\\ C(n-1) + \\var{a} & if & n\\geq2 \\end{cases}\\]
\n", "type": "question", "contributors": [{"name": "Marie Nicholson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1799/"}]}]}], "contributors": [{"name": "Marie Nicholson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1799/"}]}