Consider the sequence a_ 1 , a_ 2 , a_ 3 , … such that a_ 1 = 1, a_ 2 = 2 and a_ n+2 = 2/a_ n+1 + a_ n for n...

Question

Consider the sequence a_ 1 , a_ 2 , a_ 3 , … such that a_ 1 = 1, a_ 2 = 2 and a_ n+2 = 2/a_ n+1 + a_ n for n = 1, 2, 3, …. If (a_ 1 + 1/a_ 2 ) (a_ 2 + 1/a_ 3 ) (a_ 3 + 1/a_ 4 ) (a_ 30 + 1/a_ 31 ) = 2^ (^ 61 C_ 31 ), then is equal to

Accepted Answer

(C)

JEE Main 2022 Mathematics question

Solution

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