November 14th, 2014, 09:59 PM  #1 
Senior Member Joined: Nov 2013 Posts: 432 Thanks: 7  complete
3 , 3 , 9 , 5 , 16 , ...........

November 14th, 2014, 11:24 PM  #2 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 11,050 Thanks: 721  
November 15th, 2014, 01:31 AM  #3 
Senior Member Joined: Nov 2013 From: Baku Posts: 502 Thanks: 56 Math Focus: Geometry 
May be, it is 4,3,9,5,16?????

November 15th, 2014, 04:38 AM  #4 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 11,050 Thanks: 721  
November 15th, 2014, 07:27 AM  #5 
Banned Camp Joined: Jun 2014 From: Earth Posts: 945 Thanks: 191  
November 15th, 2014, 10:10 AM  #6 
Senior Member Joined: Nov 2013 From: Baku Posts: 502 Thanks: 56 Math Focus: Geometry  ****************** Wow, how did you find it out?!!! It was my point, to ask mared if (s)he posted the problem correctly. 
November 15th, 2014, 10:29 AM  #7  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 407  Hello, mared! I found a pattern . . . Quote:
$\begin {array}{cccccccccc} \hline a_n & 3 &&3&&9&&5&&16 \\ \hline \text{1st diff} && 0 && +6 && 4 && +11 \\ \hline \text{2nd diff} &&& +6 && 10 && +15 \\ \hline \end{array}$ The second differences are the 3rd, 4th and 5th Triangular Numbers $\qquad$ with alternating signs.  
November 15th, 2014, 10:45 AM  #8  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 11,050 Thanks: 721  Quote:
Wish I could use the "thanks" button twice... Last edited by Denis; November 15th, 2014 at 10:48 AM.  
November 15th, 2014, 11:15 AM  #9  
Banned Camp Joined: Jun 2014 From: Earth Posts: 945 Thanks: 191  Quote:
There's no reason here to assume the first number was/is off. Well, you can't use it twice. Your "thanks" were misguided as was pointed out above. Your "thanks" have been nullified. Last edited by Math Message Board tutor; November 15th, 2014 at 11:18 AM.  
November 15th, 2014, 12:36 PM  #10 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 11,050 Thanks: 721  

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