If a + 1/a = -2 then the value of a1000 + a- 1000 is
a + 1/a = –2 let a = -1 -1 + = 1/-1+-1 = -2 ∴ a = −1 a 1000 + a−1000 = (−1) 1000 + (−1)−1000 = 1 + 1 = 2
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