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Let S1, S2, be squares such that for ea...

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

9

D

10

Text Solution

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The correct Answer is:
D
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Let S_(1),S_(2),... be squares such that for each n>=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)is10cm, 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

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