The value of 1 2^2 + 2 3^2 + + 100 (101)^2 1^2 2 + 2^2 3 + + 100^2 101 is

JEE Main 2024 Mathematics question

The value of is

Answer: (B)

Numerator Σk(k+1)² = Σ(k³ + 2k² + k) = 25502500 + 676700 + 5050 =

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Question ID VK-011374