## apoorvk Group Title APOORIDDLE! $\large \mathsf {\color{crimson}{APOORIDDLE}} \color{crimson}{\text{#2}}$ Find out the next two bases in the tower sequence below: 1 11 21 1211 3112 211213 312213 212223 Also, what happens to the sequence ultimately? 2 years ago 2 years ago

1. apoorvk Group Title

[If you've come across something like this before, please wait before posting your solution to give others a fair chance to think, or send a PM :) ]

2. FoolForMath Group Title

Same old same old :)

3. apoorvk Group Title

Okay @asnaseer gets this problem, and gets this!!! --> $\huge \color{gold}{★★★}$

4. FoolForMath Group Title

114213 ...

5. apoorvk Group Title

yeah same old @FoolForMath , but not everyone was here since eternity - plus I modified the original one a bit.

6. asnaseer Group Title

thx apoorvk - now if only I could take those gold stars and pin them on my virtual image :D

7. FoolForMath Group Title

8. apoorvk Group Title

@diyadiya gets both parts right next. For her ---> $\huge \color {gold}{★★}$ @FoolForMath , you are already a genius, you have come across this plentiful times before, plus you posted only one part :D. Still, well deserving, for you--> $\large \color {gold}{★★}$

9. FoolForMath Group Title

lol, Thanks! :D

$\large \color{gold}{ Thanks :) }$

11. PaxPolaris Group Title

shouldn't the 4th number in thr sequence be 1112 ????

12. apoorvk Group Title

$\huge{\color{red}{\normalsize\text{W}}\color{orange}{\normalsize\text{e}}\color{#9c9a2e}{\normalsize\text{l}}\color{green}{\normalsize\text{c}}\color{blue}{\normalsize\text{o}}\color{purple}{\normalsize\text{m}}\color{purple}{\normalsize\text{e}}\color{red}{\normalsize\text{}}\color{orange}{\normalsize\text{}}}$

13. apoorvk Group Title

@PaxPolaris - maybe. won't matter though.

14. apoorvk Group Title

You can assume that as '1112' as well - same stuff.

15. apoorvk Group Title

Nobody else? It's SUNDAY folks!

16. PaxPolaris Group Title

114213 31121314 41122314 31221324 21322314 21322314 21322314

17. apoorvk Group Title

Wonderfullll!!! Late but nevertheless for @PaxPolaris a very well deserved --> $\huge \color {gold}{★★}$

18. apoorvk Group Title

So, you see the tower stabilises at a point, and it looks like- 1 11 21 1211 3112 211213 312213 212223 114213 31121314 41122314 31221324 21322314 21322314 21322314 21322314 21322314 21322314 . . . . . . A bit like the Empire State Building maybe? ;)

19. satellite73 Group Title

deja vu that strange feeling you get when you think you've been there before

20. satellite73 Group Title

deja vu that strange feeling you get when you think you've been there before

21. apoorvk Group Title

Lol

22. KingGeorge Group Title

A (very) similar problem: What's the next row in this pattern? 1 11 21 1211 111221 312211 13112221 1113213211

23. apoorvk Group Title

31131211131221

24. apoorvk Group Title

I am right, right?

25. KingGeorge Group Title

Looks correct to me

26. apoorvk Group Title

It's basically the <no. of digits><which digit> in sequence - not taking all occurences in the same line at once.

27. KingGeorge Group Title

Exactly. Although I wonder if it ever starts repeating.

28. KingGeorge Group Title

Or at least gets a repeating pattern.

29. apoorvk Group Title

I don't think so.. let's see. Won't stabilise according to me... let's find out.

30. KingGeorge Group Title

Some repeating patterns sounds plausible, but I also doubt it would ever fully repeat.

31. apoorvk Group Title

In fact it con't even converge. nah.

32. apoorvk Group Title

This one is less of tower, and more of a mountain! (with decreasing slope)

33. KingGeorge Group Title

Nice afternoon hike then :)

34. apoorvk Group Title

Haha..:D

35. lgbasallote Group Title

this seems familiar @apoorvk =_=

36. apoorvk Group Title

Don't worry, it's not ripped off from you - and this one is modified a bit ;)

37. apoorvk Group Title

**has been

38. lgbasallote Group Title

gooood =_=