Given that aₙ = ∫(0 to π) [sin²((n+1)x) / sin 2x] 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?

Mathematics 2016 NDA Mathematics 2016 NDA 2016

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