Let `S_1, S_2, `
be squares such that for each `ngeq1,`
the length of a side of `S_n`
equals the length of a diagonal of `S_(n+1)dot`
If the length of a side of `S_1i s10c m ,`
then for which of the following value of `n`
is the area of `S_n`
less than 1 sq. cm?
a. 5 b. 7 c. 9 d. 10
A. 7
B. 8
C. 5
D. 6