\({{\rm{a}}_{\rm{n}}} = \mathop \smallint \limits_0^{\rm{\pi }} \frac{{{{\sin }^2}\left\{ {\left( {{\rm{n}} + 1} \right){\rm{x}}} \right\}}}{{\sin 2{\rm{x}}}}{\rm{dx}}\)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?

\({{\rm{a}}_{\rm{n}}} = \mathop \smallint \limits_0^{\rm{\pi }} \frac{

1.	\({{\rm{a}}_{\rm{n}}} = \mathop \smallint \limits_0^{\rm{\pi }} \frac{{{{\sin }^2}\left\{ {\left( {{\rm{n}} + 1} \right){\rm{x}}} \right\}}}{{\sin 2{\rm{x}}}}{\rm{dx}}\)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?
A.	1 only
B.	2 only
C.	Both 1 and 2
D.	Neither 1 nor 2
Answer» D. Neither 1 nor 2