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UPSC NDA I 2016 Mathematics Solved Paper

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For the next two (2) items that follow :
Given that
an=∫0π

sin2{(n+1)x}

sin2x

dx

[NDA I 2016]

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Question : 23

Total: 120

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?

1 only
2 only
Both 1 and 2
Neither 1 nor 2

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