Recursionmedium
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Let xn=12(xn1+5xn1)x_n = \frac{1}{2} \left( x_{n-1} + \frac{5}{x_{n-1}} \right) for n1n \geq 1 with x0=3x_0 = 3. This is a well-known recursive sequence for approximating 5\sqrt{5}. If en=xn5e_n = x_n - \sqrt{5} represents the error at step nn, which of the following relations correctly bounds the error ene_n in terms of en1e_{n-1}?