# maths

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All positive integers, one after another, are written in a form of a spiral

7 8 9 10
6 1 2 11
5 4 3 12
.. 15 14 13

where does the number 2009 appear with respect to 1?

(For example, 12 appears one unit down and two units to the right of 1)

• maths -

Did you notice the pattern that the perfect squares appear alternatively on the bottom left and top right of the current square?
Check the position of 1, 4, 9, 16, 25, 36,...

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