Mathematics · 2020
JEE Main · 4 September 2020, Shift 1 · Q57
If 1+(1-2^2 · 1)+(1-4^2 · 3)+(1-6^2 · 5)+…..+ (1-20^2 · 19)=α-220 β, then an ordered pair ( α, β ) is equal to:
If
$\displaystyle 1+\left(1-2^2 \cdot 1\right)+\left(1-4^2 \cdot 3\right)+\left(1-6^2 \cdot 5\right)+\ldots . .+$ $\displaystyle \left(1-20^2 \cdot 19\right)=\alpha-220 \beta$, then an ordered pair ( $\displaystyle \alpha, \beta$ ) is equal to :
Official answer
(3)
$\displaystyle (11,103)$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.