If you have some random numbers
1,3,6,9,13,24 it's actually impossible ,
but if there is something like
and subtracting the next element from previous one(like 3-1) results in incrementing of the difference by 1 for a certain number of times ,then yup you found a pattern ,it could be many logics you can apply like is it increasing by 2,3 or if multiplying two numbers ouputs something that you know would make a pattern,o r any other logics,but you need as I said some pattern as a input that you can apply and test out , otherwise randomly looking for some pattern when you don't have a clue what you want to find in it seems impossible to me atleast,just what I think
Maybe there are some pattern finding algorithms that I don't know about !
in 1,3,5 sequence see the difference between the numbers: between 1&3 difference is 2, between 3 & 5 difference is 2.
Hence the next number should be 7, to maintain the difference to be 2.
pattern will therefore be 1,3,5,7,9,11,13......so on so forth.