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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