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Q.

LetS1,S2...... be the squares such that for eachn the length of the sideSn is equal to length of the diagonal of Sn+1If the length of the side ofS1 is 10 cm, then the least value of n for which area ofSn<1sq.cm given by

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a

7

b

8

c

10

d

9

answer is B.

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Detailed Solution

(10(2)n1)2<1100<2n1n=8

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LetS1,S2...... be the squares such that for eachn≥ the length of the sideSn is equal to length of the diagonal of Sn+1If the length of the side ofS1 is 10 cm, then the least value of n for which area ofSn<1sq.cm given by