// Numbas version: exam_results_page_options
{"name": "Sigma notation intro 1 - integers", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"rulesets": {}, "variable_groups": [], "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "<p>Students seem to struggle with Sigma notation, this is about the easiest question possible for sigma notation.</p>"}, "tags": [], "functions": {}, "name": "Sigma notation intro 1 - integers", "ungrouped_variables": ["c", "d"], "parts": [{"variableReplacementStrategy": "originalfirst", "scripts": {}, "showCorrectAnswer": true, "showFeedbackIcon": true, "type": "gapfill", "prompt": "<p>The expression \\[\\sum_{i=\\var{c}}^{\\var{d}}i\\] is equivalent to which of the following?</p>\n<p>[[0]]</p>", "variableReplacements": [], "gaps": [{"distractors": ["", "", ""], "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "displayColumns": "1", "type": "1_n_2", "showCorrectAnswer": true, "showFeedbackIcon": true, "maxMarks": 0, "scripts": {}, "marks": 0, "displayType": "radiogroup", "shuffleChoices": true, "choices": ["<p>$\\var{c}+\\var{c+1}+\\var{c+2}+\\ldots+\\var{d-2}+\\var{d-1}+\\var{d}$</p>", "<p>$\\var{c}+\\var{d}$</p>", "<p>$\\var{d-c+1}i$</p>"], "matrix": ["1", 0, 0], "minMarks": 0}], "marks": 0}], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"c": {"name": "c", "description": "", "templateType": "anything", "definition": "random(0..10)", "group": "Ungrouped variables"}, "d": {"name": "d", "description": "", "templateType": "anything", "definition": "c+random(10..50)", "group": "Ungrouped variables"}}, "extensions": [], "type": "question", "preamble": {"js": "", "css": ""}, "advice": "<p>Sigma notation is used to represent a sum.</p>\n<p>The sum $\\sum_{i=\\var{c}}^{\\var{d}}i$ is the sum of a bunch of terms of the form $i$. In this sum $i$ happens to be&nbsp;the index (or dummy variable)&nbsp;which starts at $i=\\var{c}$ and&nbsp;moves through all the integers until it ends with&nbsp;$i=\\var{d}$. That is, \\[\\sum_{i=\\var{c}}^{\\var{d}}i=\\var{c}+\\var{c+1}+\\var{c+2}+\\ldots+\\var{d-2}+\\var{d-1}+\\var{d}.\\]</p>\n<p></p>", "statement": "<p>The following question is testing whether you understand the Sigma notation used in mathematics.</p>", "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}, {"name": "Xiaodan Leng", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2146/"}]}]}], "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}, {"name": "Xiaodan Leng", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2146/"}]}