Let A(1), A(2), A(3),….., A(n) be square...

Let `A_(1), A_(2), A_(3),….., A_(n)` be squares such that for each `n ge 1` the length of a side of `A _(n)` equals the length of a diagonal of `A _(n+1).` If the side of `A_(1)` be 20 units then the smallest value of 'n' for wheich area of `A_(n)` is less than 1.

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