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Let S(1) be a square of side is 5 cm. An...

Let `S_(1)` be a square of side is 5 cm. Another square `S_(2)` is drawn by joining the mid-points of the sides of `S_(1)`. Square `S_(3)` is drawn by joining the mid-points of the sides `S_(2)` and so on. Then, (area of `S_(1)` + area of `S_(2)+…+` area of `S_(10)`) is a)`25(1-1/(2^(10)))cm^(2)` b)`50(1-1/(2^(10)))cm^(2)` c)`2(1-1/(2^(10)))cm^(2)` d)`1-1/(2^(10))cm^(2)`

A

`25(1-1/(2^(10)))cm^(2)`

B

`50(1-1/(2^(10)))cm^(2)`

C

`2(1-1/(2^(10)))cm^(2)`

D

`1-1/(2^(10))cm^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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