1. ## Number Sequence Game...

If you like number sequence puzzle. Check this out https://play.google.com/store/apps/d...numbersequence. Have fun. We could discuss some of the difficult puzzle here.

2. ## Re: Number Sequence Game...

1,3,7,25,103,321.....? can you solve this, what will be the next number?

3. ## Re: Number Sequence Game...

Not this silly sequence again!

1,3,7,25,103,?

Quit fooling around, Stephen !

4. ## Re: Number Sequence Game...

Originally Posted by stephen1205
1,3,7,25,103,321.....? can you solve this, what will be the next number?
Clearly the series is generated by the polynomial:
$-770 + \frac{113581}{60}~ x - \frac{315013}{180}~ x^2 + \frac{38273}{48}~x^3 - \frac{27551}{144}~ x^4 + \frac{5551}{240}~ x^5 - \frac{793}{720}~x^6$

So the next number in the sequence is 0.

I can make the next number in the sequence be anything I like. Without information on what generates the sequence (which, of course, is the whole point) there really is no way to tell what the next number might be.

-Dan

5. ## Re: Number Sequence Game...

Stephen, is this sequence from the Number Sequence game posted above?
If yes, which level? I could help check on the logic.

6. ## Re: Number Sequence Game...

Originally Posted by DenisB
Not this silly sequence again!

1,3,7,25,103,?

Quit fooling around, Stephen !
Actually it's not the same sequence -- that earlier sequence ended at 103, but this one adds a new term, 321. That makes all the difference, as it confirms that the process of taking differences of successive terms, then differences of differences, etc., gives a consistent fit for a 4th order polynomial. Hence the next number in this sequence is 793. Without including that 321 term, it's impossible to tell. Now of course one can always come up with higher-order polynomials that can fit, but if looking for the simplest answer (which is typically the case for these types of puzzles) I think this is it.