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Problem description:
Growing Patterns Practice
Check your understanding with eight questions.
{"questions":[{"content":"Continue the pattern: 7, 11, 15, 19, ___.<br>[[input-1]]","widgets":{"input-1":{"type":"input","answer":"23"}},"hints":["Find the constant increase."],"explanation":"The rule is add 4, so 19 + 4 = 23."},{"content":"Continue the pattern: 50, 45, 40, ___.<br>[[input-2]]","widgets":{"input-2":{"type":"input","answer":"35"}},"hints":["This pattern decreases by 5."],"explanation":"40 − 5 = 35."},{"content":"Which rule describes 1, 4, 7, 10?<br>[[choice-3]]","widgets":{"choice-3":{"type":"choice","options":["Add 3","Add 4","Multiply by 3","Subtract 3"],"answer":[0],"explanations":["Each term increases by 3.","","",""]}},"hints":["Find the difference between terms."],"explanation":"Each term increases by 3."},{"content":"A pattern starts at 6 and adds 5 each time. What is the fourth term?<br>[[input-4]]","widgets":{"input-4":{"type":"input","answer":"21"}},"hints":["List 6, 11, 16, then the fourth term."],"explanation":"The fourth term is 21."},{"content":"Which sequence follows the rule “start at 2 and add 6”?<br>[[choice-5]]","widgets":{"choice-5":{"type":"choice","options":["2, 8, 14, 20","2, 6, 12, 18","2, 4, 6, 8","2, 12, 22, 32"],"answer":[0],"explanations":["2, 8, 14, 20 increases by 6 each time.","","",""]}},"hints":["Add 6 to each term."],"explanation":"2, 8, 14, 20 increases by 6 each time."},{"content":"The terms are 9, 18, 27, 36. What is the sixth term?<br>[[input-6]]","widgets":{"input-6":{"type":"input","answer":"54"}},"hints":["Continue with 45 before the sixth term."],"explanation":"The rule is add 9: the fifth term is 45 and the sixth is 54."},{"content":"A pattern grows by 4 tiles each step. Step 3 has 14 tiles. How many tiles does step 4 have?<br>[[choice-7]]","widgets":{"choice-7":{"type":"choice","options":["18","16","10","56"],"answer":[0],"explanations":["14 + 4 = 18.","","",""]}},"hints":["Add the growth amount once."],"explanation":"14 + 4 = 18."},{"content":"Why is 5, 10, 16, 20 not an add-5 pattern?<br>[[choice-8]]","widgets":{"choice-8":{"type":"choice","options":["16 should be 15","10 should be 11","20 should be 25","The sequence must start at zero"],"answer":[0],"explanations":["Adding 5 to 10 gives 15, not 16.","","",""]}},"hints":["Check every change."],"explanation":"Adding 5 to 10 gives 15, not 16."}],"mix":1}
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