JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

The expression

{\log _2}5 - \sum\limits_{k = 1}^4 {{{\log }_2}\left( {\sin \left( {\frac{{k\pi }}{5}} \right)} \right)}

reduces to

\frac{p}{q},

where

p

and

q

are co-prime, the value of

p^2+q^2

View answer and explanation

Correct option: B

Option B (17) is correct because the expression simplifies to 4, and thus

p=4

and

q=1

, giving

p^2+q^2 = 17

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