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 4,4,4,4.... (Posted on 2007-07-31)
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.

 Subject Author Date The answer 4 the problem Math Man 2012-12-26 17:53:41 re(2): 63424563562324 Charlie 2007-08-09 10:45:19 re: 63424563562324 jduval 2007-08-09 03:25:19 63424563562324 Charlie 2007-08-07 12:17:12 Assumed there is a trick Jer 2007-08-01 17:09:28 re: Let me spell it out for you (Solution) Federico Kereki 2007-07-31 16:28:13 Let me spell it out for you (Solution) Jyqm 2007-07-31 10:52:32 Might be the solution Praneeth 2007-07-31 09:55:39

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