If $b_n=\int_0^{\frac{\pi}{2}} \frac{\cos ^2 n x}{\sin x} d x, n \in N$, then
Select the correct option:
A
$b_3-b_2, b_4-b_3, b_5-b_4$ are in an A.P. with common difference -2
B
$\frac{1}{\mathrm{~b}_3-\mathrm{b}_2}, \frac{1}{\mathrm{~b}_4-\mathrm{b}_3}, \frac{1}{\mathrm{~b}_5-\mathrm{b}_4}$ are in an A.P. with common difference 2
C
$b_3-b_2, b_4-b_3, b_5-b_4$ are in a G.P.
D
$\frac{1}{b_3-b_2}, \frac{1}{b_4-b_3}, \frac{1}{b_5-b_4}$ are in an A.P. with common difference -2
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