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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

a_n = \int\limits_{0}^{\pi} \frac{\sin^2((n+1)x)}{\sin(2x)} \, dx

[NDA I 2016]

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Question : 24 of 120

Marks: +1, -0

What is

a_{n-1}-a_{n-4}

$-1$
0
1
2

Solution:

∵ given sequence

a_n

also AP with no difference.

Thus

a_{n-1}-a_{n-4}=0

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