Math, asked by laxminegi9183, 1 year ago

The mid-points of a given square are joined to form a second square. a third square is drawn inside the second square in the same way and the process is continued indefinitely. find the sum of the peremeters of all the squares if the side of the first square is 8 cm

Answers

Answered by MMXNiloy
0
4√2+4+2√2+2+√2+1+.... it will continue as an infinite series with the common difference of 1/√2 .
So the sum would be [lim (n tends to infinity) (4√2(1-{(1/√2)^(n+1)})/1-(1/√2))]
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