(Sequences) The figure shows several terms of a sequence consisting of alternating circles and squares. Each circle is inscribed in…

(Sequences) The figure shows several terms of a sequence consisting of alternating circles and squares. Each circle is inscribed in a square and each square (excluding the largest) is inscribed in a circle. Find the relationship between Sn and Cn and between Cn and Sn+1. What portion of the largest square is shaded in the figure? Figure and full question found here: http://imgur.com/a7Vgz8C