Question: Consider a square inside which is inscribed a circle, insidewhich is inscribed a square, inside which is inscribed a circle,and so on, with the outermost

Consider a square inside which is inscribed a circle, insidewhich is inscribed a square, inside which is inscribed a circle,and so on, with the outermost square having a width of 1. Find thedifference between the sum of the areas of the squares and the sumof the areas of the circles

Figure 1: Inscribed squares and circles

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