**********1**********
********1***1********
********2***1********
****1***2***1***1****
1***1***1***2***2***1
Please hide reasoning for answer in spoiler if you'd like to play.





Blogs > Glacierz |
Glacierz
United States1244 Posts
**********1********** ********1***1******** ********2***1******** ****1***2***1***1**** 1***1***1***2***2***1 Please hide reasoning for answer in spoiler if you'd like to play. ![]() ![]() ![]() ![]() ![]() | ||
Zorkmid
4410 Posts
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Count9
China10928 Posts
312211 | ||
DarkPlasmaBall
United States43984 Posts
+ Show Spoiler + 312211 Here's why: + Show Spoiler + You *read off* the previous row, matching numbers that are alike and together in the preceding row, to come up with the next row. Row two: Row one is "one one". Row three: Row two is "two ones" Row four: Row three is "one two, one one". Et cetera. Therefore, Row six: Row five is "three ones, two twos, one one". Yay brain teasers ![]() | ||
inlagdsil
Canada957 Posts
312211 | ||
Glacierz
United States1244 Posts
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SOyuncastor
Mexico40 Posts
I'm reall dumb so I'm having problems with this as I think the secuence is 1, 1+1, 2+1, 3+1, 4+1 and the next secuence should be 5+1 with this in mind 1 is (1) x , 1+1 is (2): which is x+x or 2x or x+x , then 2+1 is (3): (2) + (1), and then 3+1 is (4): (1) + (2) + (1), and then 4+1 is (5) : (1)+ (1) + (1) + (2) + (3) so the next one at least for me is 5+1 but like I say, im really dumb as I can't figure how, because now it repeats and evolves into a new secuence I can't see maybe 1111 21 21 ?? arghh now is even worse 111 21 22 1 !! my reasoning 1 = x 1 1 = x+x (11) 1 = {(x+x)+x} 1 (11) 1 1 =x+ {(x+x)+x} + x 111 (11) (11) 1= x+x+{(x+x)+x}+(x+x)+x and last 111 (11)1 (11)(11) 1= x+x+x+{(x+x)+x}+(x+x)+(x+x)+x this is driving me crazy XD | ||
Iranon
United States983 Posts
On April 18 2012 02:50 Glacierz wrote: Wow you guys solved it quick. Keep in mind that this has been a pretty commonly known sequence since its famous appearance in a 1986 paper by John Conway. | ||
Glacierz
United States1244 Posts
On April 18 2012 02:58 SOyuncastor wrote: + Show Spoiler + I'm reall dumb so I'm having problems with this as I think the secuence is 1, 1+1, 2+1, 3+1, 4+1 and the next secuence should be 5+1 with this in mind 1 is (1) x , 1+1 is (2): which is x+x or 2x or x+x , then 2+1 is (3): (2) + (1), and then 3+1 is (4): (1) + (2) + (1), and then 4+1 is (5) : (1)+ (1) + (1) + (2) + (3) so the next one at least for me is 5+1 but like I say, im really dumb as I can't figure how, because now it repeats and evolves into a new secuence I can't see maybe 1111 21 21 ?? arghh now is even worse 111 21 22 1 !! my reasoning 1 = x 1 1 = x+x (11) 1 = {(x+x)+x} 1 (11) 1 1 =x+ {(x+x)+x} + x 111 (11) (11) 1= x+x+{(x+x)+x}+(x+x)+x and last 111 (11)1 (11)(11) 1= x+x+x+{(x+x)+x}+(x+x)+(x+x)+x this is driving me crazy XD Lol you are using too much brain, try something more intuitive. Look in DarkPlasmaBall's post if you give up =P | ||
DarkPlasmaBall
United States43984 Posts
On April 18 2012 03:46 Glacierz wrote: Show nested quote + On April 18 2012 02:58 SOyuncastor wrote: + Show Spoiler + I'm reall dumb so I'm having problems with this as I think the secuence is 1, 1+1, 2+1, 3+1, 4+1 and the next secuence should be 5+1 with this in mind 1 is (1) x , 1+1 is (2): which is x+x or 2x or x+x , then 2+1 is (3): (2) + (1), and then 3+1 is (4): (1) + (2) + (1), and then 4+1 is (5) : (1)+ (1) + (1) + (2) + (3) so the next one at least for me is 5+1 but like I say, im really dumb as I can't figure how, because now it repeats and evolves into a new secuence I can't see maybe 1111 21 21 ?? arghh now is even worse 111 21 22 1 !! my reasoning 1 = x 1 1 = x+x (11) 1 = {(x+x)+x} 1 (11) 1 1 =x+ {(x+x)+x} + x 111 (11) (11) 1= x+x+{(x+x)+x}+(x+x)+x and last 111 (11)1 (11)(11) 1= x+x+x+{(x+x)+x}+(x+x)+(x+x)+x this is driving me crazy XD Lol you are using too much brain, try something more intuitive. Look in DarkPlasmaBall's post if you give up =P To be fair, I've seen it before many times. As a math educator, I give this to my students for fun ![]() ![]() | ||
sweetbabyjesus
Denmark168 Posts
Nice brain teaser ![]() | ||
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