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Title: Help needed with a sequence Post by gkeech on Jun 14th, 2004, 7:37pm Hi all, First time poster and I have an interesting sequence I am trying to solve. "What are the next four sets of initials in this sequence JM JG WM GW" They do not have to be initials as in peoples names but I am completely stumped. Many thanks for your time Gavin Keech :) |
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Title: Re: Help needed with a sequence Post by mattian on Jul 15th, 2004, 10:46am I don't know the answer yet... but I have noticed something of a pattern in the sequence: JM JG WM GW The first set "JM" wrap the last set "GW" in the second and third set, as follows First : JM Last : GW Last inside first : J GW M Second and Third : JG WM So (First, Second, Third, Fourth) is equivalent to (First, Last inside First, Last) Coincidence? Perhaps. |
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Title: Re: Help needed with a sequence Post by tseuG on Jul 15th, 2004, 2:17pm Extending mattian's suggestion in a way, JM JG WM GW MJ GJ |
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Title: Re: Help needed with a sequence Post by mattian on Jul 16th, 2004, 6:00am Well if MJ and GJ are the next two sets, then it should follow that the sequence is: JM JG WM GW MJ GJ MW WG The explanation of my last two sets is as follows: Fifth: MJ Sixth: GJ Eighth inside Fifth : M ?? J Since Fifth is inverted First, Invert Eighth inside Fifth: J ?? M therefore Sixth and Seventh = JG ?M And since 5th, 6th, 7th and 8th are the inverse of 1st, 2nd, 3rd and 4th, it stands to reason that the missing character is a W. The question, is, tseuG, how did you get from GW to MJ? |
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Title: Re: Help needed with a sequence Post by mattian on Jul 16th, 2004, 10:25am I have another theory: In base 4, assume that each of the letters in the sequence (jm jg wm gw) have numeric equivalents, and apply the following values: m = 0 j = 1 w = 2 g = 3 The sequence becomes: 10 13 20 32 (base 4) convert to decimal: 4 7 8 14 This decimal sequence has a pattern: 4 7 8 14 12 21 16 28 ... Convert back to base 4 10 13 20 32 30 111 100 130 ... Apply the letter mappings: jm jg mw gw gm jjj jmm jgm ... Again - just a thought. |
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Title: Re: Help needed with a sequence Post by mattian on Jul 16th, 2004, 10:29am Of course, the sequence (4, 7, 8, 14) has a number of potential projections... example: 4 7 8 14 12 21 16 28 ... OR 4 7 8 14 16 28 32 56 .... OR 4 7 8 14 15 24 25 37 ... (+1, +3, +1, +6, +1, +9, +1, +12, ...) ETC. So it's anybody's guess. |
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Title: Re: Help needed with a sequence Post by mattian on Jul 16th, 2004, 10:31am My gut tells me the sequence is an english sequence to which we're exposed in our everyday lives. There was another posting in this forum which mentioned the sequence (1, 2, D, ...) the answer to which was just that - a sequence we see in our everyday lives. I won't give the answer to that riddle in this forum. But I think we should all go home and look at our washing machines, dishwashers, televisions, vcrs, etc. and look for JM JG WM GW... |
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Title: Re: Help needed with a sequence Post by mattian on Jul 16th, 2004, 10:33am Another example of this is the sequence (O, T, T, F, F, S, S, E, ...). It's an english sequence. I think gkeech's sequence is one of these. |
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Title: Re: Help needed with a sequence Post by SWF on Jul 18th, 2004, 12:00pm Don't know if this is relevant, but all are initials of former Presidents of the United States: JM= James Madison or James Monroe JG= James Garfield WM= William McKinley GW= George Washington I can't think of any significance to listing presidents in that order. |
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Title: Re: Help needed with a sequence Post by Icarus on Aug 5th, 2004, 12:49pm Perhaps there is a different list of people with those initials for whom the order does make sense? Kings or PMs? |
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