Given a data :
a finite sequence of 10000 terms of increasing real numbers,
each expressed as decimal form, up to 20th decimal place,
Also suppose that the data was obtained while testing a conjecture in number theory,
so that it is possible to generate beyond 10000-th term.
You can think the data was actually the first 10000 term of the infinite sequence.
Is there a statistical test for convergence of the infinite sequence ?
The input : 10000 real numbers of decimal form upto 20 deciaml places
The output : probability 0 to 1 or just likely/unlikey with or without significance.