Let $S_K=\frac{1+2+\ldots+K}{K}$ and $\sum_{j=1}^n S_j^2=\frac{n}{A}\left(B n^2+C n+D\right)$ where $A, B, C, D \in N$ and $A$ has least value. Then [JEE Main 2023, 8 Apr (Shift 1)]

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Let \(S_K=\frac{1+2+\ldots+K}{K}\) and \(\sum_{j=1}^n S_j^2=\frac{n}{A}\left(B n^2+C n+D\right)\) where \(A, B, C, D \in…

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