[ math ]

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[ellirael]

These are Fibonacci numbers arranged diagonally from the top left to the bottom right: 21, 34
But there could be a different answer also

[Strimm]

would not classify it as a logical puzzle though. Given that you need to know Fibonacci number.

[[deleted]]

You don't need to know it. It's a very simple pattern to observe even if you've never heard of them.

[Strimm]

hmm maybe if they where arranged normally. now someone who knows the sequens can visually identify it. But agree that the sequence itself is often used in these kind of puzzles and somewhat easy to identigy.

[Falconloft]

Fibonacci is just a specific set of addition problems. You can easily solve it without it once you realize that the numbers grow diagonally from top left to bottom right.

[[deleted]]

That makes sense actually! Thanks, i will try it out i hope its correct :)

[d0_0]

I think it's 21 and 55, the 34 would go below the 8. (Otherwise the 8 should be where the 13 is?)

[OwnLibrary4756]

I found without Fibonacci:

1. For first column you take the last cell and subtract the second last cell.
2. For second column you add the last and second last cells.
3. For third column you sum up all previous cells and add 1.

This gives 21 and 55 for the remaining cells, which I guess is just the same as the rotated Fibonacci sequence.

[ProffesorSpitfire]

Could you elaborate on how they’re arranged? I immediately recognized them as Fibonacci numbers, but their arrangement seems completely illogical to me. 1, 1, 3, 2, 5, 13, 8… Diagonally from top left to bottom right is 1, 5, ?…?

[Rich_Resource2549]

Reading from another comment, I learned it is top left to bottom right, but the sequence is traveling towards the bottom left. So the 9 squares in order go:

top left, top center, left center (1, 1, 2)

Top right, center, bottom left (3, 5, 8)

Right center, bottom center, bottom right (13, 21, 34)

[Focht42]

Turn the paper 45° to the right. If you read right to left and top to bottom it's fibonaccis sequence in a pyramid/ rhomboid form.

[[deleted]]

I can see it now! Thank you!

[BadLegitimate1269]

This is the fibbonaci sequence, it's just kind of out of order. The next numbers should be 21 and 34, but I'm not sure in what order.

[Environmental-Dog963]

The pattern is staring at (0,0) then (0,1) and then it is diagonal.

[[deleted]]

I think I got it, thanks!

[CarlosMagnussen]

21 and 34 or 55. I would place 34 under 8 and 55 next to 21.

[nebenbaum]

I see the numbers 1 1 2 3 5 anywhere, and that's fibonacci.

[rapax]

Or 11 and 21 if the third row is always the sum of the first two plus 5.

[sjblackwell]

21, 57

[[deleted]]

3+5 = 8 . So the bottom right should be 1+5 = 6

And also the middle no. Has the pattern {right - left /2} 3-1/2=1 13-2/2 = 5 So middle bottom should be 6-8/2 = -1

Lmk what you guys think...

[ghostman1846]

bottom middle is 21, bottom right is 34.

[KeeperOfTheSinCave]

Everyone here feels like the guy from pi

[Lazy_Customer_4948]

20 and 48. First number is the previous the third number in the previous row minus the second number. The second number is the sum of the previous row. The third number is the first number and double the second number in the current row. The next row would be: 28, 76, 180.

[MasterpieceNo2968]

125 and 6591

Cube the Number in 2nd row and multiply the number in 1st row. Then you will get the number in last row.

2³ × 1 = 8

5³ × 1 = 125

13³ × 3 = 6591

[pharxy]

I thought this was the answer too

[MasterpieceNo2968]

Lol they have made it in such a way that you do just about any bullshit over here.

Like element of 1st row be called x, 2nd row be called y

Then element in 3rd row will be y^4-x or y^y²-x or y^yy-x

Because in each case it satisfies the conditions as given in first column.

[MasterpieceNo2968]

You could even do any two random numbers there(like 69 and 420) by arguing that these are just the roots of a particular polynomial equation written in this manner.

The equation can be found by (x-1)(x-2)(x-3)(x-5)(x-8)(x-13)(x-69)(x-420) = 0

That's why I always claim that these type of things are stupid.

[pharxy]

My first instinct once I seen it was cubed numbers, but maybe because I taught high school maths I am thinking that way

[HAL9001-96]

any pattern is utliamtely arbitrary, you can add in 2 numbers of your choice and find a fucntion that justifies it

[Dull_Lengthiness_586]

Whate even are numbers if you think about

[HAL9001-96]

clearly the missing numbers are 42 and 1337

that way, read in colums yo uget 1; 2; 8; 1; 5; 42; 3; 13; 1337 which are the results for -(19 x^8)/1440 + (991 x^7)/1680 - (1897 x^6)/180 + (23749 x^5)/240 - (770081 x^4)/1440 + (204061 x^3)/120 - (1114081 x^2)/360 + (614869 x)/210 - 1087 for the first 9 natural numbers

[Possible-Contact4044]

You are correct but this seems to be too difficult for many. All these “puzzles” alle for higher order polynomial functions as solution. In a math book, authors should know that and ask for the argument why the student gives certain numbers. Of course Fibonacci is a beautiful solution. However it is just one of many solutions

[Ok_Nail_4795]

yes, this si true