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Let S(1), S(2),... be square such that f...

Let `S_(1), S_(2)`,... be square such that for each `n ge 1` the length of a side of `S_(n)` equal the length of a diagonal of `S_(n+1)`. If the length of a side of `S_(1)` is 10 cm, then for which of the following values of n is the area of `S_(n)` less than 1 sq cm ?

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