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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?
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?

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apoorvk
 2 years ago
Best ResponseYou've already chosen the best response.3[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 :) ]

FoolForMath
 2 years ago
Best ResponseYou've already chosen the best response.0Same old same old :)

apoorvk
 2 years ago
Best ResponseYou've already chosen the best response.3Okay @asnaseer gets this problem, and gets this!!! > \[\huge \color{gold}{★★★}\]

apoorvk
 2 years ago
Best ResponseYou've already chosen the best response.3yeah same old @FoolForMath , but not everyone was here since eternity  plus I modified the original one a bit.

asnaseer
 2 years ago
Best ResponseYou've already chosen the best response.1thx apoorvk  now if only I could take those gold stars and pin them on my virtual image :D

FoolForMath
 2 years ago
Best ResponseYou've already chosen the best response.0What about my gold star?

apoorvk
 2 years ago
Best ResponseYou've already chosen the best response.3@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> \[\large \color {gold}{★★}\]

Diyadiya
 2 years ago
Best ResponseYou've already chosen the best response.0\[\large \color{gold}{ Thanks :) }\]

PaxPolaris
 2 years ago
Best ResponseYou've already chosen the best response.0shouldn't the 4th number in thr sequence be 1112 ????

apoorvk
 2 years ago
Best ResponseYou've already chosen the best response.3\[\huge{\color{red}{\normalsize\text{W}}\color{orange}{\normalsize\text{e}}\color{#9c9a2e}{\normalsize\text{l}}\color{green}{\normalsize\text{c}}\color{blue}{\normalsize\text{o}}\color{purple}{\normalsize\text{m}}\color{purple}{\normalsize\text{e}}\color{red}{\normalsize\text{}}\color{orange}{\normalsize\text{}}}\]

apoorvk
 2 years ago
Best ResponseYou've already chosen the best response.3@PaxPolaris  maybe. won't matter though.

apoorvk
 2 years ago
Best ResponseYou've already chosen the best response.3You can assume that as '1112' as well  same stuff.

apoorvk
 2 years ago
Best ResponseYou've already chosen the best response.3Nobody else? It's SUNDAY folks!

PaxPolaris
 2 years ago
Best ResponseYou've already chosen the best response.0114213 31121314 41122314 31221324 21322314 21322314 21322314

apoorvk
 2 years ago
Best ResponseYou've already chosen the best response.3Wonderfullll!!! Late but nevertheless for @PaxPolaris a very well deserved > \[\huge \color {gold}{★★}\]

apoorvk
 2 years ago
Best ResponseYou've already chosen the best response.3So, 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? ;)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1deja vu that strange feeling you get when you think you've been there before

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1deja vu that strange feeling you get when you think you've been there before

KingGeorge
 2 years ago
Best ResponseYou've already chosen the best response.0A (very) similar problem: What's the next row in this pattern? 1 11 21 1211 111221 312211 13112221 1113213211

apoorvk
 2 years ago
Best ResponseYou've already chosen the best response.3It's basically the <no. of digits><which digit> in sequence  not taking all occurences in the same line at once.

KingGeorge
 2 years ago
Best ResponseYou've already chosen the best response.0Exactly. Although I wonder if it ever starts repeating.

KingGeorge
 2 years ago
Best ResponseYou've already chosen the best response.0Or at least gets a repeating pattern.

apoorvk
 2 years ago
Best ResponseYou've already chosen the best response.3I don't think so.. let's see. Won't stabilise according to me... let's find out.

KingGeorge
 2 years ago
Best ResponseYou've already chosen the best response.0Some repeating patterns sounds plausible, but I also doubt it would ever fully repeat.

apoorvk
 2 years ago
Best ResponseYou've already chosen the best response.3In fact it con't even converge. nah.

apoorvk
 2 years ago
Best ResponseYou've already chosen the best response.3This one is less of tower, and more of a mountain! (with decreasing slope)

KingGeorge
 2 years ago
Best ResponseYou've already chosen the best response.0Nice afternoon hike then :)

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0this seems familiar @apoorvk =_=

apoorvk
 2 years ago
Best ResponseYou've already chosen the best response.3Don't worry, it's not ripped off from you  and this one is modified a bit ;)
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