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Let S(k)=(1+2+.....+K )/(k) and sum(j=1)...

Let `S_(k)=(1+2+.....+K )/(k)` and `sum_(j=1)^(n)S_(j)^(2)=(n)/(A)(Bn^(2)+Cn+D)`, where `A,B,C,D in NN` and `A` has least value. Then

A

`A+B=5(D-C)`

B

`A+B` is divisible by `D`

C

`A+B+C+D` is divisible by `5`

D

`A,C,D` is not divisible by `B`

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