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New Discovery! 2023 Hottest in over 120 Million Years 2024 and beyond in prophecy Questions This Speech Just Broke the Internet Status: Not Logged In; Sign In United States News See other United States News Articles Title: Do you think this is a reasonable math prbolem for a 4th grader? Source: [None] URL Source: [None] Published: May 24, 2016 Author: me Post Date: 2016-05-24 16:48:35 by no gnu taxes Keywords: None Views: 1787 Comments: 30 John saves $1 on day 1, $3 on day 2, $6 dollars on day 3, 10 dollars on day 4 and so on. Given this pattern, how long will it take John to save $165? This seems like at the very least a 7th grade problem. Post Comment   Private Reply   Ignore Thread   Top • Page Up • Full Thread • Page Down • Bottom/Latest Begin Trace Mode for Comment # 11. #6. To: no gnu taxes (#0) John saves $1 on day 1, $3 on day 2, $6 dollars on day 3, 10 dollars on day 4 and so on. 1,3,6,10? What is the pattern? Add $3 to the amount saved each day? 6+3 does not equal 10. TheFireBert  posted on  2016-05-24   17:16:54 ET  Reply   Untrace   Trace   Private Reply   #10. To: TheFireBert (#6) What is the pattern? The pattern is "Add the number of the day to the total from the day before". It would be easier to find the answer by mechanical computation than to derive an algebraic expression and solve it. Day 1 = $1 2 = $3 3 = $6 4 = $10 5 = $15 6 = $21 7 = $28 8 = $36 9 = $45 10 = $55 11 = $66 12 = $78 13 = $91 14 = $105 15 = $120 16 = $136 17 = $153 18 = $171 So, it would take 18 days to save $165 (or $166, or $169, all the way up to $171). This is a pretty hard problem. You either "see" the pattern outright (which I did) or you spend endless time trying to find some sort of progression. Worse, the end-point doesn't land on $165, so you have to have the broader sense to recognize that $165 is within the set of solutions for Day 18. If the number were set, instead at $16,304, one would have to derive a formula. There is a formula for this sort of repeating sequence it resembles an interest problem), so once again one will either remember that formula, or one will have to derive it. It would take me a long time to do that. This is a bit much for a 9 year old. Vicomte13  posted on  2016-05-24   17:36:44 ET  Reply   Untrace   Trace   Private Reply   #11. To: Vicomte13 (#10) It actually comes out to 9 days. 1+3+6+10+15+21+28+36+45=165 no gnu taxes  posted on  2016-05-24   17:39:27 ET  Reply   Untrace   Trace   Private Reply   Replies to Comment # 11. #19. To: no gnu taxes (#11) It actually comes out to 9 days. 1+3+6+10+15+21+28+36+45=165 You're right. I was ignoring the cash already accumulated and just looking at the day's number. Vicomte13  posted on  2016-05-25 09:35:50 ET  Reply   Untrace   Trace   Private Reply   End Trace Mode for Comment # 11. Top • Page Up • Full Thread • Page Down • Bottom/Latest

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