**********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 States1239 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 States42211 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 States1239 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 States1239 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 States42211 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 They often try to come up with interesting math operations to connect the rows to each other, and so they fail to come up with the next row until they think outside the box | ||
sweetbabyjesus
Denmark168 Posts
Nice brain teaser | ||
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