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Deux Difference Deduction (Posted on 2015-01-23) Difficulty: 3 of 5
Find all possible arithmetic sequences of integers, with a common difference of 2, whose sum is exactly 2016.

No Solution Yet Submitted by K Sengupta    
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Some Thoughts re(2): My revised solution Comment 8 of 8 |
(In reply to re: My revised solution by Dej Mar)

Both of us understand the problem and I do not flatly disagree with you. However  when you are given 3 numbers like 1,2,3... it is more logical that the next number is 4,  although 1,2,3..might  be  followed by 624 (a(n)= 6*(n-1)*(n-2)*(n-3)+n) or any other number.

Given   a=2016   we see a single number,  given a couple 1007,1009,..we may guess  1007,1009,1012,1016 or else (including arithm. seq.).

In our case 36 is unacceptable as answer, 35 might be accepted since we know that d=2 is here to stay, and 34 is the most logical (imho), given due explanation.

I revert to my 1st sentence, both of us understand what counts and both approaches are acceptable once justified,

  Posted by Ady TZIDON on 2015-01-24 08:10:52
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