If then an ordered pair is equal to | Sequences and Series

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JEE MAIN 2020

04-09-2020 S1

Question

If $1+\left(1-2^2 \cdot 1\right)+\left(1-4^2 \cdot 3\right)+\left(1-6^2 \cdot 5\right)+\ldots \ldots+ \left(1-20^2 \cdot 19\right)=\alpha-220 \beta$, then an ordered pair $(\alpha, \beta)$ is equal to:

Select the correct option:

A

(10, 103)

B

(10, 97)

C

(11, 97)

D

(11, 103)

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