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Here is another sequence problem to solve for a, b, and c. What is really fun about this one is I can see 3 different explanations for the sequence which all give the same answers for a, b, c. I wonder how many more explanations there are which give the same results?

2, 9, 4, 11, 6, 1, 8, 3, 10, a, b, c

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You have term a correct, but b and c are not. And I believe the sequence you gave has a slight math error, though correcting it is still only close but not quite right.

The sequence I got was +7,-5,+7,-5,-7

and then it starts over again+7,-5,+7,-5,-7

So if this is correct a=5 b= -2 c=5

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I just saw another possible explanation

You give : 2,9,4,11,6

and then:1,8,3,10,5

If I break it up like this then my poor logic tells me that (assuming that a=5) the seqence that follows is:0,7,2,9,4

this means that a=5,b=0,c=7

Edited by mailboy
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This is my first ever post, so be nice ;)

Well, allowing for negatives, I came up with the answer of:

A = -7, B = 12 and C = -5

Terms 1,3,5,7,9 and all ascending multiples of 2 and terms 2,4,6,8 follow a pattern of +2/-10/+2 so I am assuming that I would subtract 10 from term 8 and reach -7 for term 10?

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I see a pattern of +7 -5 +7 -5 -5 so one guess would be a=5 b=0 and c=7. I also thought that you only subtract 5 twice in a row if you are able to without going negative or to 0 so it could be a=5 b=12 c=7 (and d=2 since it would be possible to subtract 5 again while staying positive)

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Congrats Plumbstar Tom and Troysccr for the correct answer and Troysccr for one of the explanations.

The number sequence repeats after the a,b,c, so the term after c is 2 then 9 etc. That should be helpful.

Partial credit for Mallboy, your b term is not quite what I was looking for, but I suppose it is allowable.

Meester Michael, your answer is off but your explanation is close for an explanation for the sequence nobody else has suggested yet.

Nobody has yet suggested the explanation that I orginally used to devise the sequence, so its still waiting to be found.

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there are actually two sequences merged in this one.

One is the clock sequence 9..11..1..3..5..7 and the other is simple.. 2..4..6..8..10..12

only the terms are alternated

Edited by sak_lko
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Take a clock face, start at 2 o'clock and just add 7 everytime!

Bingo Zeron!

there are actually two sequences merged in this one.

One is the clock sequence 9..11..1..3..5..7 and the other is simple.. 2..4..6..8..10..12

only the terms are alternated

Just remember that the whole sequence repeats at the end, so 12 goes on to 2 and not 14.

Edited by Nana7
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All the explanations I could see were found. The original sequence is just a clock adding 7 hours each time. But that simple sequence can also be explained by more complex sequences and I thought that was neat.

Have all of the sequences been solved now Nana?

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