SOLUTION: Dear teaches, my math teacher gave me the following sequence: 1234321, 26121262, 1241212121212, ? The task is to solve the next term (the one with an ?) He said that you don'

Question 1195483: Dear teaches, my math teacher gave me the following sequence: 1234321, 26121262, 1241212121212, ?
The task is to solve the next term (the one with an ?)
He said that you don't need any advanced math to solve it, but only pattern recognition skill. So it doesn't necessarily must have a formula, just a logical pattern (for example, between digits like the sequnce 9328, 1627, 1406 where the pattern here is that the product of the two first digits of a term are the last two digits of the next term (9*3=27, 1*6=06) and the product of the last two digits of a term are in the first two digits of the next term (2*8=16, 2*7=14).
I've tried very hard but still couldn't solved it. What I've seen, is the next relation between the 1st and 2nd term; 1*2=2, 2*3=6, 3*4=12, 4*3=12, 3*2=6, 2*1=2. So it seems that the 2nd term is a compound of numbers (2,6,12,12,6,2) made of from the product of the digits or numbers of the first term (1,2,3,4,3,2,1). But then from the 2nd to the 3rd term seems like the pattern changes a little (maybe multiplying from different direction, right to left).
Maybe I'm looking in the wrong place so don't let my analysis focus on you, but more like an observation.
And remember, all what you need is a bright idea.
I hope I made it clear, and thanks in advance for your attention. It is really impotant for me to understand this sequence.
Answer by greenestamps(13195) (Show Source): You can put this solution on YOUR website!

Since nobody else has responded to your post after a couple of days, I will.

I'm wondering why you feel it is "really important" for you to understand this sequence. Being able to see patterns that generate the terms of the sequence is not an indication of problem-solving ability.

This is more of a game than a math problem. Finding a pattern that works is as much a matter of chance as anything else. And you might find a pattern that works which is not the "right" pattern.

Spend as much (or as little!) time as you want looking for an answer... but don't attach any importance to finding one.

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