Does anyone know what the rule of this maths sequence is? If you think you do say what you think the next 1 will be :D

1
11
21
1211
111221
312211
13112221
1113213211

If you get it right, can you also prove why there will never be a number 4 in ANY sequence, no matter how many you do.

say what you see.

in the first row i see one number 1 so i say 11, then i see 2 number ones so i say 21 etc so the next is 31131211131211.

you want a proof? you sound like sze. I will give you some latex but i am too drunk to write you a proof. no 4s because you cant get 4 of anything in a row

duh.

31131211131221

piggy/tigger had the second last number wrong :P

damn, you guys are too clever :P

If anyone else has maths problems (fun / interesting) then please post :)

what pattern can be notice in the sequence (dont just say how each line is made, but say what they all have in common)
1
11
121
1331
14641
1510105
also give the next number

last one has a 1 at end

It's pascal's triangle.

Try coming up with something original.

im asking for what all have in common, not what it is.

https://www.google.com/search?q=google+1+11+121+1331+14641&ie=utf-8&oe=utf-8&aq=t&q=google+1+11+121+1331+14641&ie=utf-8&oe=utf-8&aq=t&channel=fflb&q=google+1+11+121+1331+14641&ie=utf-8&oe=utf-8&aq=t&channel=rcs

please...you add 2 numbers together and put the result beneath and between them.

sighs, im asking for whats unusual about every number, not how to solve it or what it is called

Nothing is unusual about every number, do you mean something like, theyre all prime?

Each row is a combination of nCr where n is the row number (starting at 0) and r is that number's position in the row (starting at 0).

sigh, they are all powers of 11

Someone's bound to post this eventually so it might as well be me, I've altered some things to hopefully make it slightly less google-able.

Suppose you're on a cruise ship, and you're given the choice of three boxes: inside one box is a super-deluxe pogo stick; the others contain radishes. You choose a box, say No. 1, and the host, who knows what's inside the boxes, opens another box, say No. 3, which has a radish. He then says to you, "Do you want swap your box for box No. 2?" Is it to your advantage to switch your or keep your original box? Or is there no difference?

Also you definitely want the super-deluxe pogo stick instead of a radish.

you want to switch, this is the famous monty hall problem. Look up how to do it online but i will give you the basics. at the beginning they each have a 1/3 chance, and then the host shows you one that does not have it. Because he intentionally did this then there is still a 1/3 chance for the one you picked and a 2/3 chance for the one you did not pick

Correct, I was hoping for someone who hadn't already heard of it though...

oh sorry :P
next problem: there are two envelopes and one has twice as much money in it than the other does you open one envelope and it has 50 dollars in it. do you want to keep the fifty dollars or take the amount of money that is in the second envelope and why?

25x.5+100x.5= 62.5 open the second

If you get to see the amount of money the point to this paradox is lost. You swap and see whether you were right to swap and the game stops there.

The classical problem is you get the envelope and then without seeing what's inside are asked whether you want to swap. Some say your expected return by swapping is greater then by sticking so you swap. You are then asked whether you want to swap again and the same logic apples so you swap. Basically you might conclude that it is beneficial to swap indefinitely. Clearly it is not so we have a paradox.

Maths is funny sometimes. It is 50 50. You shouldn't hurt your brain by overanalysing.