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Figure this one out!

Figure this one out!

Posers and Puzzles

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What row of numbers comes next?

1
11
21
1211
111221
312211
13112221

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Originally posted by Wildfire
What row of numbers comes next?

1
11
21
1211
111221
312211
13112221
Neat, I think I know the answer to this one.

1112213211

Now, who can figure out why this is the correct answer? If nobody gets is today, I'll post my reasoning tomorrow.

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Originally posted by bbarr
Neat, I think I know the answer to this one.

1112213211

Now, who can figure out why this is the correct answer? If nobody gets is today, I'll post my reasoning tomorrow.
No, but I think you got the gist of it, you probably had a typing error.

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lol

1 edit
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1113213211 (one 1, one 3 two 1 three 2 one 1)


try this one then

11
110
1,001
1,100
1,111
10,010

what is the next row ?

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easy. 10,101

1 edit
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Originally posted by bobbob1056th
easy. 10,101
welldone 😉

Ok try this one

If

TFFFF FFFF_ = 90

&

TFFFF FFFFT = 0

what is

TFFFF _FFFT =





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Originally posted by bobbob1056th
easy. 10,101
yep, just binary 21. (3,6,9.12.15.18.21)

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Originally posted by Jay Peatea
welldone 😉

Ok try this one

If

TFFFF FFFF_ = 90

&

TFFFF FFFFT = 0

what is

TFFFF _FFFT =





I started off thinking this might be a tertiary logic problem where
T=1 F=2 and _=0 but couldn't get anything to add up to 90.
Tertiary digits would go 3^4 (81's column) 3^3(27's column)
3^2 (9's column) 3^1 (3's column) and 3^0 (units column)
so TFFFF could be 81 plus 0 or 162 plus 0 or 81 plus 40 or
40 or 80, non of which is 90 so no go. at a blank now.

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Originally posted by sonhouse
I started off thinking this might be a tertiary logic problem where
T=1 F=2 and _=0 but couldn't get anything to add up to 90.
Tertiary digits would go 3^4 (81's column) 3^3(27's column)
3^2 (9's column) 3^1 (3's column) and 3^0 (units column)
so TFFFF could be 81 plus 0 or 162 plus 0 or 81 plus 40 or
40 or 80, non of which is 90 so no go. at a blank now.
I should hasten to add that the letters T & F are not chosen at random, they represent various items that have been used in mathematical calculations for a long time. The underscore represents a removal or discounting of one of them.

Also here is a bonus lateral thinking clue:-

just say outloud to yourself the following sentence

"Mamma mia da spicy meatballs"
😉

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Originally posted by Wildfire
What row of numbers comes next?

1
11
21
1211
111221
312211
13112221
Analysed first by John Conway, this is known as the Audioactive Sequence.
Aka the Look and Say Sequence.
http://mathworld.wolfram.com/LookandSaySequence.html

1 edit
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Originally posted by Jay Peatea
I should hasten to add that the letters T & F are not chosen at random, they represent various items that have been used in mathematical calculations for a long time. The underscore represents a removal or discounting of one of them.

...[text shortened]... lf the following sentence

"Mamma mia da spicy meatballs"
😉
No takers eh ?
Once you have figured out what the T & F items used in mathematical calculations are, it should be quite easy. I'm tempted to tell you what they are, but since you have all certainly used them before, you will only kick yourselves if I told you, so I won't.

Try saying outloud that sentence, start by saying it as if you were an englishman, then say it again as if you were an italian. Notice anything different about yourself ?

😉

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Originally posted by Jay Peatea
Try saying outloud that sentence, start by saying it as if you were an englishman, then say it again as if you were an italian. Notice anything different about yourself ?
People around me are starting to stare?

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Originally posted by Jay Peatea
Ok try this one

If

TFFFF FFFF_ = 90

&

TFFFF FFFFT = 0

what is

TFFFF _FFFT =
TFFFF _FFFT = 54

I doubt that my answer is correct, but I'll explain my reasoning anyway. In fact, I'm in a creative mood, so here's my little anecdote for the night:

After staring at those equations for a long, long time, I was suddenly struck with the realization that the equations were organized into two groups of five. I also noted that, lo and behold, my fingers were organized in a very similar way! Novel thought, that. (And really, how much simpler can you get when it comes to basic mathematical tools?)

What I concluded from your meatballs clue was that the number nine is significant to the puzzle (there are nine syllables in that phrase). Since the base for this puzzle is a set of ten, the clue pointing to nine indicates that there is something missing out of the set of ten. Being quite unfamiliar with accents, the second part of the clue befuddled me completely. I would assume there's something different about the way the words are stressed?

Moving on... I was then left to ponder in what circumstance one might be missing a finger, and why the location of that missing finger (or thumb) was significant. Since TFFFF FFFFT (which appears to be a complete set of fingers on two hands) is equal to zero, the number must be representative of the value of the body part missing from the set. It seems that one thumb is equal to the value "90," as I determined from the first equation. A finger is missing from the final equation, so obviously the goal is to determine what the value of a finger is.

Since it is nearly 2:30 AM and I'm getting fed up with this puzzle, I'm gonig to assume that the integer "90" is irrelevant in a puzzle formulated around base ten, so I'll interpret the two-digit number as "9-0." In the first equation, there are nine digits to the left of the missing digit and zero to the right. Therefore, as the sixth digit is missing from the third equation, there are five numbers to the left and four to the right - 5-4 or 54. (I recall this was a method of remembering the multiples of nine back in elemantary school...)

Right. There you are. Seems quite simple now that I've thought through it... Good puzzle.

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Originally posted by sagacity
TFFFF _FFFT = 54

I doubt that my answer is correct, but I'll explain my reasoning anyway. In fact, I'm in a creative mood, so here's my little anecdote for the night:

After staring at those equations for a long, long time, I was suddenly struck with the realization that the equations were organized into two groups of five. I also noted that, lo and ...[text shortened]... .)

Right. There you are. Seems quite simple now that I've thought through it... Good puzzle.
Welldone old chap you are correct 😉.

re the mamma mia clue, the difference between the two accents (hopefully) should be some stereotypical italian hand waving gestures, indicating the thumbs & fingers...............
...
...
...
...
...
emmmm Well it works for me

"Mamma mia da spicy meatballs"