How may I use Wolfram Mathematica to make a formula for ANY given sequence?

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How may I use Wolfram Mathematica to make a formula for ANY given sequence?

Mathematics
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Post the sequence.
I'm talking about it generally.
@robtobey Mathematica help, if you may.

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Table[ n,{n,1,100}]
For example, if I have {1,5,138233,393943585}, how will I make a formula for it USING WOLFRAM MATHEMATICA?
This will give you the sequence from 1 to 100
@eliassaab Is there a function which I could use for finding a formula?
You have to know a(n) in terms of n \[ Table[ n/(n+1),{n,1,100}] \]
For example, if I have {1,2,4,8,16,32.....}, is there a command which would return me with \(a_n = 2^{n - 1}\)?
Sum[i, {i, 1, k}] = (k (k + 1))/2
No. if you know a(n), you can find the sequence, but not vice versa.
I wish Mathematica could generalize a formula for any given sequence.
You can write a function that check a specific sequence.
Thank you for the effort anyway. :)

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