Multiple Choice Questions on Consider the following statements 1 The sequence a2n is in AP with common difference zero 2 The sequ........... for NDA Exam Preparation

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Multiple Choice Questions

Consider the following statements 1 The sequence a2n is in AP with common difference zero 2 The sequ...........

Mathematics (NDA) Applications of Derivatives
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    Given that  a_{n}=\int_{0}^{\pi}\frac{sin^{2}{(n+1)x}}{sin2x}dx

    Consider the following statements

    1. The sequence {a2n } is in AP with common difference zero.

    2. The sequence {a2n + 1 } is in AP with common difference zero.

    Which of the above statements is/are correct?

    Only 1

    Incorrect Answer

    Only 2

    Incorrect Answer

    Both 1 and 2

    Correct Answer

    Neither 1 nor 2

    Incorrect Answer
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    Explanation:


    =>2a2n=0
    =>a2n=0
    Similarly, value a 2n+1 = 0
    \therefore The sequence {a 2n } is in AP with common difference zero and the sequence {a 2n + 1 } is in AP with common difference zero.

    By: Munesh Kumari
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