Suppose that x0 = 1, y0 = 0, xn = xn-1 + 2yn-1, and yn = xn-1
Question:
xn = xn-1 + 2yn-1, and yn = xn-1 + yn-1
for n ∊ N. Prove that x2n - 2y2n = ± 1 for n ∊ N and
xn/yn → √2 as n → ∞
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