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    Question

    If a + 1/a = -2 then the value of a1000 +

    a- 1000 is
    A 2 Correct Answer Incorrect Answer
    C 1 Correct Answer Incorrect Answer
    D 1/2 Correct Answer Incorrect Answer

    Solution

    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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