## apoorvk 2 years ago 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?

1. apoorvk

[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

Same old same old :)

3. apoorvk

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

4. FoolForMath

114213 ...

5. apoorvk

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

6. asnaseer

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

7. FoolForMath

8. apoorvk

@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

lol, Thanks! :D

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

11. PaxPolaris

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

12. apoorvk

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

13. apoorvk

@PaxPolaris - maybe. won't matter though.

14. apoorvk

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

15. apoorvk

Nobody else? It's SUNDAY folks!

16. PaxPolaris

114213 31121314 41122314 31221324 21322314 21322314 21322314

17. apoorvk

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

18. apoorvk

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

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

20. satellite73

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

21. apoorvk

Lol

22. KingGeorge

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

23. apoorvk

31131211131221

24. apoorvk

I am right, right?

25. KingGeorge

Looks correct to me

26. apoorvk

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

27. KingGeorge

Exactly. Although I wonder if it ever starts repeating.

28. KingGeorge

Or at least gets a repeating pattern.

29. apoorvk

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

30. KingGeorge

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

31. apoorvk

In fact it con't even converge. nah.

32. apoorvk

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

33. KingGeorge

Nice afternoon hike then :)

34. apoorvk

Haha..:D

35. lgbasallote

this seems familiar @apoorvk =_=

36. apoorvk

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

37. apoorvk

**has been

38. lgbasallote

gooood =_=