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Guest Message by DevFuse

What is the missing term of the sequence?

Started by Rob_Gandy, Sep 08 2012 12:05 AM

Best Answer Rainman, 08 September 2012 - 06:58 PM

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2 replies to this topic

#1 Rob_Gandy

Advanced Member

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Location:Garland, TX

Posted 08 September 2012 - 12:05 AM

What is the missing number in the sequence?

0, 1, 6, 105, 27 030,_______________, 7 608 434 000 728 254 870
The sequence
here may seem
unusual, but
examination
may reveal
obvious steps
required to
solve for each
element in it.

Spoiler for Hint

Edited by Rob_Gandy, 08 September 2012 - 12:10 AM.

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#2 Rainman

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Posted 08 September 2012 - 06:58 PM Best Answer

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#3 bonanova

bonanova

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Location:New York

Posted 08 September 2012 - 09:03 PM

Spoiler for
We are building a binary string, starting with 0. We get the next string by switching all zeros and ones, then adding the switched string at the end of the original string.
0 (switch zeros and ones to get 1, add this at the end of the string to get the next number)
01 (switch zeros and ones to get 10, add this at the end to get...)
0110 (switch to get 1001, add to get...)
01101001 (switch to get 10010110, add to get...)
0110100110010110 (switch to get 1001011001101001, add to get...)
01101001100101101001011001101001 (this is the missing string, bring it back to decimal base to get 1,771,476,589)

Impressive. Good puzzle, great solve!

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

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