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Topic: Guess the sequence (Read 413 times) |
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rmsgrey
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Guess the sequence
« on: Dec 17th, 2005, 4:47am » |
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1, 8, 72, 46, 521, 612, 343, 215...
What are the next few terms, and/or the rule for generating the sequence?
(it may be worth skipping the tenth term to avoid giving too much away)
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JohanC
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Re: Guess the sequence
« Reply #1 on: Dec 17th, 2005, 4:54am » |
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927 ?
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pcbouhid
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Re: Guess the sequence
« Reply #2 on: Dec 18th, 2005, 2:23am » |
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927, 0001, 1331, 8271,...
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JocK
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Re: Guess the sequence
« Reply #3 on: Dec 18th, 2005, 3:02am » |
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on Dec 17th, 2005, 4:47am, rmsgrey wrote:1, 8, 72, 46, 521, 612, 343, 215...
What are the next few terms, and/or the rule for generating the sequence?
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hmmm... you should have asked to give the milionth term... 
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solving abstract problems is like sex: it may occasionally have some practical use, but that is not why we do it.
xy - y = x5 - y4 - y3 = 20; x>0, y>0.
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JohanC
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Re: Guess the sequence
« Reply #4 on: Dec 18th, 2005, 5:14am » |
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on Dec 18th, 2005, 3:02am, JocK wrote:| hmmm... you should have asked to give the milionth term... |
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1
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rmsgrey
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Re: Guess the sequence
« Reply #5 on: Dec 18th, 2005, 9:26am » |
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on Dec 18th, 2005, 5:14am, JohanC wrote:
1 |
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Not quite...
0000000000000000001...
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Grimbal
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Re: Guess the sequence
« Reply #6 on: Dec 19th, 2005, 12:42am » |
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Are we going to start a thread whether ...0001 = 1 or not ?
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rmsgrey
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Re: Guess the sequence
« Reply #7 on: Dec 19th, 2005, 2:50am » |
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The last step in generating a term of the sequence is clearly dealing with the number as a symbol string rather than a value. As symbol strings, ...0001 and 1 are clearly different. Reinterpreting the string as a value is introducing an additional step - it's still a valid sequence, but less simple, so not as good.
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JocK
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Re: Guess the sequence
« Reply #8 on: Dec 19th, 2005, 3:56am » |
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on Dec 19th, 2005, 2:50am, rmsgrey wrote:| The last step in generating a term of the sequence is clearly dealing with the number as a symbol string rather than a value. As symbol strings, ...0001 and 1 are clearly different. Reinterpreting the string as a value is introducing an additional step - it's still a valid sequence, but less simple, so not as good. |
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In that case, completing the sequence given the terms provided (without the tenth term), is a highly ambiguous task.
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| « Last Edit: Dec 19th, 2005, 3:58am by JocK » |
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solving abstract problems is like sex: it may occasionally have some practical use, but that is not why we do it.
xy - y = x5 - y4 - y3 = 20; x>0, y>0.
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