[chezlaw]

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Meanwhile unless you have some trick up your sleeve your problem is a perfect example of my point. Add them up two at a time from the outside inwards. n/2 pairs of n+1 totals.

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That requires an idea. Once you've had the idea the rest is simple logic. Many people would never have that idea but can grasp it if its pointed out because integers are simple and its a simple idea.

To the point, the idea and understanding are not reducible to simple logic and its the inability to grasp the concepts and ideas that prevents people from doing advanced maths.

All of us are limitation in this respect and its why although anyone of moderate intelligence can do maths methods (differential equations etc) most struggle with advanced abstract algebra or number theory - these require very high intelligence to graps the concepts and ideas.

chez