Let A be the sum of the first 20 terms and B be the sum of the first 40 terms of the series 1^2 + 2 · 2^2 + 3^2 + 2 · 4^2 + 5^2 + 2 · 6^2 + … If B - 2A = 100λ, then λ is equal to

Let A be the sum of the first 20 terms and B be the sum of… — JEE Main 2018 Mathematics PYQ

JEE Main 2018

Let

A

be the sum of the first 20 terms and

B

be the sum of the first 40 terms of the series

1^2 + 2 \cdot 2^2 + 3^2 + 2 \cdot 4^2 + 5^2 + 2 \cdot 6^2 + \ldots

B - 2A = 100\lambda

, then

\lambda

is equal to

Show answer

Correct option: B

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