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20 16 Baoding bimodule mathematics
∫ The area of quadrilateral ABFE is12; Then take the midpoint g and h of EF and CD respectively, and the area of quadrilateral EGHD is122; Then take the midpoint of GH and FC respectively and take it down in turn.

The area of square ABCD is 1,

∴ The area of square ABCD minus the area of the last remaining square is equal to the value of formula12+122+123+…+122012.

∴ 12+ 122+ 123+…+ 1220 12= 1- 1220 12=220 12? 1220 12.

So the answer is: 220 12? 1220 12.