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Sequence 2 (Posted on 2003-08-03) Difficulty: 3 of 5
What is the next number in the following series?

1, 2, 4, 13, 31, 112, ?

See The Solution Submitted by Ravi Raja    
Rating: 2.8333 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: no subject(V) | Comment 11 of 14 |
(In reply to by V)

Well I got the same answer as you. Except I had a different approach, I added 1^2 to the first number(1), then I added 2(1^2) to the sum of 1+1^2, then I multiplied the base of the previous square by 3 making it 3^2, then added that to the sum of 1+1^2+2(1^2) then I added 2(3^2) to that sum. I continued this process, coming to an answer of 274. Basically its (1)+1^2=(2)+2(1^2)=(4)+(3^2)=(13)+2(3^2)=(31)+(9^2)=(112)+2(9^2)=(274),if you wanted to continue the sequence it would be (274)+(27^2)=(1003)+2(27^2)=(2461) so on and so on. The only problem with your approach, I'm not totally sure if you would know what number to add by after multiplying 274 by 2. And I'm 16.
  Posted by Freddy Grants on 2003-08-05 14:20:54

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