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例1设a+1/a=2,求a~n±1/a~n.解把a+1/a=2化为关于a的一元二次方程a~2-2a+1=0,解得a=1.所以,对任何自然数n,都有
Example 1 Let a + 1 / a = 2, find a ~ n ± 1 / a ~ n. Solve a + 1 / a = 2 as a quadratic equation a ~ 2-2a + 1 = Solve a = 1. So, for any natural number n, have