Simple python question about sequence

[soulblader_86]

let say I enter a 4 digit in a certain sequence

how to make python detect the sequence and pattern my 4 digit is arrange and auto generate the next 3 digit?

1, 2, 4, 7, 11, ??, ??, ??, … # step = 1 -> 2 -> 3 -> 4 -> …
1, 3, 7, 13, 21, ??, ??, ??, … # step = 2 -> 4 -> 6 -> 8 -> …

for example

input 1st integer: 1
input 2nd integer: 3
input 3rd integer: 6
input 4th integer: 10

This a gradually increasing sequence

15
21
28

 

[davidktw]

let say I enter a 4 digit in a certain sequence

how to make python detect the sequence and pattern my 4 digit is arrange and auto generate the next 3 digit?

1, 2, 4, 7, 11, ??, ??, ??, … # step = 1 -> 2 -> 3 -> 4 -> …
1, 3, 7, 13, 21, ??, ??, ??, … # step = 2 -> 4 -> 6 -> 8 -> …

for example

Your question seems to be too rather open-ended. If I give you the following sequence "5, 8, 13, 21", would you be able to easily tell it's a Fibonacci sequence ?

How about the following ? "15485863, 32452843, 49979687, 67867967', it might take a computer a very long time to figure that out. So what are your constraint to your question. You will need to bound it.