JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Analyzing +4 | -1

Let

b_0, b_1, b_2, \ldots

be a sequence, where

b_0=\frac{1}{2}

and

b_n=\frac{b_{n-1}-b_{n-2}}{b_{n-1}+b_{n-2}} \forall n \geq 1

.then the value of

b_n \prod_{r=2}^{n+1}\left(\frac{1-b_r}{1+b_r}\right)

equals

View answer and explanation

Correct option: C

\frac{1}{2}

Option C (

\frac{1}{2}

) is correct because the product telescopes, leaving only the initial term

b_0 = \frac{1}{2}

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