JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Analyzing +4 | -1

Let

\left\{a_n\right\}_{n=0}^{\infty}

be a sequence such that

a_0=a_1=0

and

a_{n+2}=3 a_{n+1}-2 a_n+1, \forall n \geq 0

Then

a_{25}\, a_{23}-2 a_{25}\, a_{22}-2 a_{23}\, a_{24}+4 a_{22}\, a_{24}

is equal to

View answer and explanation

Correct option: B

528

Option B (528) is correct because by recursively applying the given sequence relation and simplifying the expression, the result is 528.

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