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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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Knowledge Check

  • sum_(k =1)^(n) k(1 + 1/n)^(k -1) =

    A
    `n(n -1)`
    B
    `n(n + 1)`
    C
    `n^(2)`
    D
    `(n +1 )^(2)

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