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If b n = ∫ π 2 / 0 2 dx x sin nx cos , n ∈ N, then-

1. b 3 – b 2 , b 4 – b 3 , b 5 – b 4 are in an A.P. with common difference –2
2. 2 3 b b 1 − , 3 4 b b 1 − , 4 5 b b 1 − are in an A.P. with common difference 2
3. b 3 – b 2 , b 4 – b 3 , b 5 – b 4 are in a G.P.
4. 2 3 b b 1 − , 3 4 b b 1 − , 4 5 b b 1 − are in an A.P. with common difference –2

Correct answer: 2 3 b b 1 − , 3 4 b b 1 − , 4 5 b b 1 − are in an A.P. with common difference –2

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