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Let S(n)=sum(k=1)^(4n)(-1)^((k(k+1))/2)k...

Let `S_(n)=sum_(k=1)^(4n)(-1)^((k(k+1))/2)k^(2)`. Then `S_(n)` can take values

A

`40xx41`

B

`18xx19`

C

`20xx21`

D

`22xx23`

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