A square, S1, with sides of 10 cm is modeled to right. Second square, S2, with sides of 5v2 cm is inscribed in S1 so that vertices of S2 lie at midpoints of sides of S1. Third square, S3, is inscribed in S2 so that vertices of S3 lie at midpoints of sides od S2. process is continued indefinitely.
If process of drawing squares were to continue indefinitely, then what would be sum of infinite geometric series of squares' perimeters?