Guest Posted September 13, 2009 Report Share Posted September 13, 2009 (edited) There is an infinite sequence: 0, 1, 2, 0, 6, 9, 3, 2, 0, 1, 3, 6, 5, 6, 8, 0, 6, 8, 3, . . . If you convert the digits 0-9 to letters using the map 0=A, 1=B, 2=C,...,9=J, the word CAB happens to occur, starting with the 8th term. Find the first occurrence of the five-letter word meaning "2 : made dull, apathetic, or cynical by experience or by surfeit..." (according to merriam-webster.com) Edited September 13, 2009 by xamdam Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 14, 2009 Report Share Posted September 14, 2009 There is an infinite sequence: 0, 1, 2, 0, 6, 9, 3, 2, 0, 1, 3, 6, 5, 6, 8, 0, 6, 8, 3, . . . If you convert the digits 0-9 to letters using the map 0=A, 1=B, 2=C,...,9=J, the word CAB happens to occur, starting with the 8th term. Find the first occurrence of the five-letter word meaning "2 : made dull, apathetic, or cynical by experience or by surfeit..." (according to merriam-webster.com) what do you mean by term? and how is that a hint? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 14, 2009 Report Share Posted September 14, 2009 It would be useful to have a hint about the sequence - how is it generated? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 14, 2009 Report Share Posted September 14, 2009 The eighth term in the sequence has to be 2, namely the eighth number in the sequence, separated by commas. We all know what the five letter word is. Our problem is to sort out the logical sequence of the successive numerals. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 14, 2009 Report Share Posted September 14, 2009 O.K. -- A hint about how the sequence is generated: Think about right-angled subterranean plant parts. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 14, 2009 Report Share Posted September 14, 2009 (edited) Heh... O.K. -- A hint about how the sequence is generated: Think about right-angled subterranean plant parts. Well since you gave away the sequence, will the calculator on my computer have enough decimal places (31) to complete this one? Edit: nevermind didn't get far enough to see the loop Edited September 14, 2009 by ljb Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 14, 2009 Report Share Posted September 14, 2009 504 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 14, 2009 Report Share Posted September 14, 2009 504 Hah, got me by a few minutes. Xamdam - you couldn't pick a word closer to the start? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 14, 2009 Report Share Posted September 14, 2009 You got it -- good job MoMoney and ljb. Do you think anyone would have gotten it without the hint? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 14, 2009 Report Share Posted September 14, 2009 You got it -- good job MoMoney and ljb. Do you think anyone would have gotten it without the hint? imho - not likely Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 14, 2009 Report Share Posted September 14, 2009 504 how did you get that, would you please show me the next few numbers in the sequence Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 14, 2009 Report Share Posted September 14, 2009 Try looking at the square root of 1, 2, 3, 4, 5, ... carried out to quite a few decimal places. Then compare the decimal portions of those square roots, respectively, to terms 1,2,3,4,5,... in the sequence and look for the connection. The sequence continues: 0,5,9,5,9,0... how did you get that, would you please show me the next few numbers in the sequence Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 15, 2009 Report Share Posted September 15, 2009 nice puzzle. a 3 letter word for a place you can sleep is at 682. Quote Link to comment Share on other sites More sharing options...
Question
Guest
There is an infinite sequence:
0, 1, 2, 0, 6, 9, 3, 2, 0, 1, 3, 6, 5, 6, 8, 0, 6, 8, 3, . . .
If you convert the digits 0-9 to letters using the map 0=A, 1=B, 2=C,...,9=J,
the word CAB happens to occur, starting with the 8th term.
Find the first occurrence of the five-letter word meaning "2 : made dull, apathetic, or cynical by experience or by surfeit..."
(according to merriam-webster.com)
Edited by xamdamLink to comment
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