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 February 15th, 2012, 09:06 AM #1 Newbie   Joined: Feb 2012 Posts: 1 Thanks: 0 Can I give you guys a number theory related riddle? This is the sequence, that contains 10 numbers. Find the eleventh one and the pattern. 20-24-31-34-36-41-48-50-54-57-? Yes, 20 is the first number. Note: the answer is NOT trivial. I can give a hint if you want to.
 February 15th, 2012, 06:44 PM #2 Math Team     Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233 Re: Can I give you guys a number theory related riddle? Here's my 'theory' look at the differences between consecutive terms 4 7 3 2 5 7 2 4 3 each difference appears twice EXCEPT 5 so the next difference must be 5 making the next number of your sequence 57 + 5 = 62
 February 15th, 2012, 07:14 PM #3 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: Can I give you guys a number theory related riddle? I cheated and found the sequence on OEIS, and I don't feel bad for having cheated because I would never have figured it out on my own!
 February 15th, 2012, 07:15 PM #4 Math Team     Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233 Re: Can I give you guys a number theory related riddle? so what is the answer Mark? oh, 69...
 February 15th, 2012, 07:28 PM #5 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: Can I give you guys a number theory related riddle? Yes, 69 is the next number in the sequence.
 February 15th, 2012, 11:50 PM #6 Senior Member   Joined: Jan 2007 From: India Posts: 161 Thanks: 0 Re: Can I give you guys a number theory related riddle? Please post the logic as well please .
 February 16th, 2012, 03:07 PM #7 Newbie   Joined: Oct 2011 Posts: 24 Thanks: 1 Re: Can I give you guys a number theory related riddle? You can find the logic in oeis.org website... "Numbers n such that 6*n-1 and 6*n+1 are twin composite odd numbers." Anyway here i have my own sequence, find the next term: 1-1-1-31-381-2451-10921-38221-???????
 February 16th, 2012, 06:47 PM #8 Math Team     Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233 Re: Can I give you guys a number theory related riddle? .....112561...[endedit] but no help from oeis i can explain if anyone asks... here's a sequence i solved on another forum, not on file at oeis 1,2,3,4,5,8,7,16,9,... find the next term and the general rule
 February 16th, 2012, 07:05 PM #9 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: Can I give you guys a number theory related riddle? The nth term $A_n$ is as follows: For odd n: $A_n=n$ For even n: $A_n=2^{\frac{n}{2}}$ So, the next or 10th term is $2^{\frac{10}{2}}=32$
 February 16th, 2012, 07:16 PM #10 Math Team     Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233 Re: Can I give you guys a number theory related riddle? very good, can you get the one given by THEBROKER...?

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