Tuesday, March 2, 2010

Serial Killer

Provided by Cam.

Given the following series: 56__194__442__848__1484__2446__3854__?

What is the number corresponding to the 8th term, the 42nd term and the 200th term ?

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13 Comments:

Blogger Zaux said...

Is the 8th number in the set 5852?

March 2, 2010 7:53 PM  
Blogger Zaux said...

the 42nd term is 3,038,070

March 2, 2010 8:11 PM  
Blogger Zaux said...

I beleieve the 200th term is 1,585,682,204

March 2, 2010 8:20 PM  
Blogger Anonymous said...

Zaux,

You got the 8th good work.

I suspect you got the 42nd but made a typo. It is very close to what you posted.


200th should be trivial, or is it ?

Cam

P.S.
Thanks to Chris for posting puzzle for me

March 2, 2010 8:20 PM  
Blogger Zaux said...

42nd is 3,038,074

March 2, 2010 8:21 PM  
Blogger Anonymous said...

You got it Zaux,

Too easy for you.

Cam

March 2, 2010 8:25 PM  
Blogger Chris said...

I get similar to Zaux.
8th is 5852
42nd 3038074
200 th 1585682204

March 2, 2010 8:25 PM  
Blogger Anonymous said...

You got it too Chris. Good work.

Cam

March 2, 2010 8:28 PM  
Blogger Chris said...

4 + 11 x + 42 x^2 - 2 x^3 + x^4

March 2, 2010 8:30 PM  
Blogger Chris said...

I bet you weren't expecting it to be done so quickly.

Mathematica helped me to solve it after the difference table showed me it was a quartic.

March 2, 2010 8:52 PM  
Blogger Chris said...

Above formula on assumption that x = 1 => 56 so that it is easy to associate x with the term in the sequence.

March 3, 2010 4:24 AM  
Blogger Zaux said...

what is did was post the series in wolframalpha ... it showed the next number in the series, the formula, and a graph which revealed that 1,2,3,etc. plugged into the formula determined the series

March 3, 2010 8:48 AM  
Blogger Chris said...

LOL. Thanks for that Zaux. I had no idea that wolframalpha could do that. That's really useful info.

March 3, 2010 2:23 PM  

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