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        riddles >> medium >> Sequence 
        
(Message started by: Kaotis on Aug 23^rd, 2004, 11:21pm)

Title: Sequence
Post by Kaotis on Aug 23^rd, 2004, 11:21pm

I I'm not sure if it's hard enough to put it in the Medium forum.... So solve it! :)

6.28.469,8128,?

Title: Re: Sequence
Post by Rezyk on Aug 24^th, 2004, 12:28am

Quote:

6.28.469,8128,?

"6,28,496,8128,?" would be much easier...

Title: Re: Sequence
Post by rmsgrey on Aug 24^th, 2004, 3:44am

In fact it would be perfectly simple, though I only ever got around to proving that a certain set of numbers all had a certain property, rather than proving that only those numbers do.

Title: Re: Sequence
Post by THUDandBLUNDER on Aug 24^th, 2004, 11:22am

Quote:

So solve it!

:[hide]33550336[/hide]

Title: Re: Sequence
Post by Kaotis on Aug 29^th, 2004, 1:28pm

Yeap!
it's perfectly correct!
how long it's take you to figure this out?

Title: Re: Sequence
Post by rmsgrey on Aug 31^st, 2004, 7:19am

Since I'm only familiar with one property exclusively shared by 6 and 28 below 100, it wasn't too hard to make the leap and deduce that that was the property unifying the sequence. Had I bothered to calculate the next term, that would have taken far more time than recognising the sequence did. Had I attempted to prove that that was the next term, I'd probably still be working at it unless I either delegated much of the work to a computer, or got hit by an insight that escaped me last time I tackled the problem (over a decade ago)