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

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

A

7

B

8

C

9

D

10

Text Solution

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The correct Answer is:
B, C, 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