tag:blogger.com,1999:blog-10220498.post114642396003078545..comments2021-05-10T20:20:14.013-05:00Comments on Math Teacher Mambo: NCTM FunShireen Dadmehrhttp://www.blogger.com/profile/16282965851939089408noreply@blogger.comBlogger10125tag:blogger.com,1999:blog-10220498.post-48719115504486258572012-06-07T14:17:57.553-05:002012-06-07T14:17:57.553-05:00This is great! I am always looking for extra credi...This is great! I am always looking for extra credit problems this is a fun one. Thanks for sharing.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-10220498.post-1147296980927225492006-05-10T16:36:00.000-05:002006-05-10T16:36:00.000-05:00I know. How cool is it? I guess it's that it's eas...I know. How cool is it? I guess it's that it's easy to remember the set up. It's straightforward, and it's challenging.<BR/><BR/>Ms. CookieAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-10220498.post-1147290398647519832006-05-10T14:46:00.000-05:002006-05-10T14:46:00.000-05:00This is my favourite all time puzzle. :)I didn't k...This is my favourite all time puzzle. :)<BR/><BR/>I didn't know how to prove you couldn't ever have a four in it, although I worked out that you couldn't. I just wasn't sure how to put it into words.<BR/><BR/>Owl.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-10220498.post-1147084980522431952006-05-08T05:43:00.000-05:002006-05-08T05:43:00.000-05:00I was thinking along the same lines and going for ...I was thinking along the same lines and going for a proof by contradiction. Suppose you have "...41..." in your sequence. That means in the previous row you had 4 ones. Which means that was describing 2 rows back with "one 1 and one 1" which is not how it would be described (contradiction).<BR/><BR/>Ms. CookieAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-10220498.post-1147084431543781002006-05-08T05:33:00.000-05:002006-05-08T05:33:00.000-05:00I'm pretty sure the answer to the 4's question is ...I'm pretty sure the answer to the 4's question is no....when you get big enough to be described by a three you prevent another one being added in the next line....you'll never say there's one one and then right next to it say there's one one again (making 4). What other way(s) can you prove it?Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-10220498.post-1146909482938101132006-05-06T04:58:00.000-05:002006-05-06T04:58:00.000-05:00Great! I love when I finally figure out a challeng...Great! I love when I finally figure out a challenging puzzle. <BR/><BR/>Here's a follow up question: will there ever be any "4"s in the sequence? "5"s .... How can you prove it?<BR/><BR/>Ms. CookieAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-10220498.post-1146885768154301572006-05-05T22:22:00.000-05:002006-05-05T22:22:00.000-05:00I was the orginal asker here....I figured it out. ...I was the orginal asker here....I figured it out. I actually had guessed it but then I thought that it didn't work because I made a mistake. I think I'll use this at the end of the year as an extra credit question. :) Thanks.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-10220498.post-1146823317465385942006-05-05T05:01:00.000-05:002006-05-05T05:01:00.000-05:002 more lines and another clue ...31131211131221132...2 more lines and another clue ...<BR/>31131211131221<BR/>13211311123113112211<BR/><BR/>clue: description<BR/><BR/>Ms. CookieAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-10220498.post-1146620942634550432006-05-02T20:49:00.000-05:002006-05-02T20:49:00.000-05:00I'll give you the next 2 lines (mwa ha ha ha)13112...I'll give you the next 2 lines (mwa ha ha ha)<BR/><BR/>13112221<BR/>1113213211<BR/>...<BR/><BR/>and a hint: every line is related to the line before it. I'm glad you're trying it.<BR/><BR/>Ms. CookieAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-10220498.post-1146615458574214852006-05-02T19:17:00.000-05:002006-05-02T19:17:00.000-05:00Alright, I'm frustrated enough to ask....what exac...Alright, I'm frustrated enough to ask....what exactly is the pattern? At first I was looking for a Pascal's triangle type of connection, but I didn't get it....Anonymousnoreply@blogger.com