Christ, here we go (dirty practical way to guesstimate retarded sequences, it is not correct but beats banging your head against the wall looking for regressions that fit):
Alright, when a sequence isn't obvious you need to find something that links numbers. Most of the time, its a silly combination like previous term minus term or something like that. However, I don't think it's "manually" possible to find the appropriate sequence unless it's a known one. I suggest you a method... I can't tell its 100% correct but it mathematically looks ok.
So the sequence is : 1 2 9 76 1057 ...
If you make a graph with the numbers of your sequence as X axis and the following gap as Y one it would give you this...
Well, by following gap I mean if you take "2" in this sequence the following gap is 7 (because 9-2).
As you can see R²=1 which is perfect but in reality its more like 0.999...
The linear regression gives you y=13,23X-27.07 aka "next gap" = 13.23 * Number you know (1057)"-0.27
It seems like it gives something like 13957.3.
Looking at the sequence it goes odd-even-odd-even etc so it must be an even number i guess and 13957 obviously isn't.
So, I did another linear regression but only with the last numbers because the gap between 13956 and 13958 is so small that it's hard to affect R² unless you have a very accurate calculator... Moreover, the number is most likely after 1057 looking at how numbers go...
So, you do the same thing but this time you enter as the next gap for 1057 :13956-1057=12899 OR 13958-1057=1901.
If you do so, and if you have enough digits in the linear regression to compare you'll find that R² is closer to 1 with 13956.
As I said, R² is very close to 1 (excel says 1 but my calculator is @ 0.9999...some digits) so it looks like the X you're looking for but MAYBE after 1057 it doesn't follow a linear law.
im talking about this song
1 2 9 76 1057 (+3549=4606)
1 7 67 981 (+2568=3549)
6 60 914 (+1654=2568)
54 854 (+800=1654)
800
im gonna eat my frogs and give you details after
So the sequence is : 1 2 9 76 1057 ...
If you make a graph with the numbers of your sequence as X axis and the following gap as Y one it would give you this...
Well, by following gap I mean if you take "2" in this sequence the following gap is 7 (because 9-2).
As you can see R²=1 which is perfect but in reality its more like 0.999...
The linear regression gives you y=13,23X-27.07 aka "next gap" = 13.23 * Number you know (1057)"-0.27
It seems like it gives something like 13957.3.
Looking at the sequence it goes odd-even-odd-even etc so it must be an even number i guess and 13957 obviously isn't.
So, I did another linear regression but only with the last numbers because the gap between 13956 and 13958 is so small that it's hard to affect R² unless you have a very accurate calculator... Moreover, the number is most likely after 1057 looking at how numbers go...
So, you do the same thing but this time you enter as the next gap for 1057 :13956-1057=12899 OR 13958-1057=1901.
If you do so, and if you have enough digits in the linear regression to compare you'll find that R² is closer to 1 with 13956.
As I said, R² is very close to 1 (excel says 1 but my calculator is @ 0.9999...some digits) so it looks like the X you're looking for but MAYBE after 1057 it doesn't follow a linear law.