Area and area

Geometry Level 3

Let $$S_{1},S_{2},$$.....be squares such that for each n greater than equal to 1 the length of a side of $$S_{n}$$ equals the length of a diagonal of $$S_{n+1}$$. if the length of a side of $$S_{1}$$ is 10cm, then for which of the following values of n is the area of $$S_{n}$$ less than 1 sq.cm ?

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