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4,4,4,4.... (Posted on 2007-07-31) Difficulty: 3 of 5
I chose a certain sequencing rule, and I told my friend no matter what number he named, it would eventually end up at repeating 4s.

At first he chose 5, which ended in 4, 4, 4... Then he tried 18, which met the same fate. Even numbers like -42 and Pi ended in 4, 4, 4...

Still trying to outdo me, he started to get really creative. He tried 63424563562324 ... same. He even tried a googolplex and Avogadro's number. But alas all the numbers he tried ended up in 4,4,4. Finally he conceded.

What's the sequencing rule I use? Should he have conceded? Can you find any starting terms which don't end in 4, 4, 4...?

  Submitted by jduval    
Rating: 4.3333 (3 votes)
Solution: (Hide)
The first number in the sequence is any number you can name. The second and following terms are simply the number of letters in the english name of that number.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionThe answer 4 the problemMath Man2012-12-26 17:53:41
re(2): 63424563562324Charlie2007-08-09 10:45:19
re: 63424563562324jduval2007-08-09 03:25:19
63424563562324Charlie2007-08-07 12:17:12
SolutionAssumed there is a trickJer2007-08-01 17:09:28
Some Thoughtsre: Let me spell it out for you (Solution)Federico Kereki2007-07-31 16:28:13
SolutionLet me spell it out for you (Solution)Jyqm2007-07-31 10:52:32
SolutionMight be the solutionPraneeth2007-07-31 09:55:39
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