Let \( S_{1} S_{2}, \ldots \) be squares such that for each \( n \geq 1 \), the length of a side... VIDEO
Let \( S_{1} S_{2}, \ldots \) be squares such that for each \( n \geq 1 \), 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 \( 10 \mathrm{~cm} \), then for which of the following values of \( n \) is the area of \( S_{n} \) less than 1 sq. cm?
(a) 7
(b) 8
(c) 9
(d) 10
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