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

Question

anonymous · Answer

Post the sequence.

parthkohli · Answer

I'm talking about it generally.

parthkohli · Answer

@robtobey Mathematica help, if you may.

anonymous · Answer

Table[ n,{n,1,100}]

parthkohli · Answer

For example, if I have {1,5,138233,393943585}, how will I make a formula for it USING WOLFRAM MATHEMATICA?

anonymous · Answer

This will give you the sequence from 1 to 100

parthkohli · Answer

@eliassaab Is there a function which I could use for finding a formula?

anonymous · Answer

You have to know a(n) in terms of n
$$
Table[ n/(n+1),{n,1,100}]

$$

parthkohli · Answer

For example, if I have {1,2,4,8,16,32.....}, is there a command which would return me with $a_n = 2^{n  - 1}$?

anonymous · Answer

Sum[i, {i, 1, k}] = (k (k + 1))/2

anonymous · Answer

No. if you know a(n), you can find the sequence, but not vice versa.

parthkohli · Answer

I wish Mathematica could generalize a formula for any given sequence.

anonymous · Answer

You can write a function that check a specific sequence.

parthkohli · Answer

Thank you for the effort anyway. :)