Let a_ n _ n=0 ^ be a sequence such that a_ 0 = a_ 1 = 0 and a_ n+2 = 3a_ n+1 - 2a_ n + 1, ∀ n 0. Then a_ 25 a_ 23 - 2a_ 25 a_ 22 - 2a_ 23 a_ 24 + 4a_ 22 a_ 24 is equal to:

JEE Main 2022 Mathematics question

Let be a sequence such that and , ∀ . Then is equal to:

Answer: (2)

, which leads to (using ), i.e. $ -

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Question ID VK-035051