Kamal, wouldn't Microsoft want you to exhibit thinking outside the box
on an interview question like this? If so, suggesting something like
polynomial regression would be ho-hum. Furthermore, considering
Occam's Razor, it would totally miss geometric sequences, the
Fibonacci sequence, prime numbers, etc. I think that going to the
database of integer sequences would be a much better response.

Dave

On Oct 30, 11:09 am, Kamal <[email protected]> wrote:
> In simple terms, if you are going to use only polynomial functions as f
> (x), this a polynomial curve fitting problem. Here, the input points
> are (1,2) (2,4) (3,6) and so on...
>
> There are many approaches to solve this. You can even consider other
> functions to model the series according to the need. A related well
> studied topic is Polynomial Regression (Regression Analysis in
> general)
>
> --
> Kamal
>
> On Oct 30, 7:14 pm, Dave <[email protected]> wrote:
>
>
>
> > I would use a language, such as Perl, with which I could easily link
> > to the web page for the Online Encyclopedia of Integer Sequences,
> > using the 
> > URLhttp://www.research.att.com/~njas/sequences/index.html?q=2,4,6,8,10,1...
> > (note that the sequence is imbeded in the URL) and output the
> > response, which in this case includes 164 different sequences
> > containing this sequence, the first few of which are the even numbers,
> > the products of the digits of n, Values taken by totient function phi
> > (m), n + product of nonzero digits of n, n + reversal of digits of n,
> > and so forth.
>
> > Dave
>
> > On Oct 29, 7:19 am, Pawandeep <[email protected]> wrote:
>
> > > hello everyone ,
> > > you are given a series of numbers like
>
> > > 2,4,6,8,10,12............this is simple though
>
> > > nd u hve to identify that  f(x) = x+ 2 for this series ..
>
> > > now can you write a program to identify the f(x) for any series of
> > > numbers..
>
> > > // i know it is tough but don't say its not possible- Hide quoted text -
>
> - Show quoted text -
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