Vii

Next example: [1: 1, 3, 1, 1, 3, 1, 1, 3, 1, …]. In this notation we see the sequence 1, 3, 1 repeating. The decomposition of the rectangle into squares will look like this: Using algebra we can arrive at the equation: Letting x = 1 and solving for y: We can also arrive at the same equation working with the continued fraction. ................
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