Let S K =(1+2+ +K)/K and Σ j=1 ⁿ S j ²=n/A(B n²+C n+D), where A, B, C, D N and A has least value. Then

(B) A+C+D is not divisible by B

Sequence and Series: JEE Main 2023 Mathematics question

JEE Main 2023 · 8 Apr, Morning shift · Q5231

JEE Main 20238 Apr, Morning shiftMathematicsMediumSequence and Series179× since 2002

Let

S_{K}=\frac{1+2+\ldots+K}{K}

and

\sum_\limits{j=1}^{n} S_{j}^{2}=\frac{n}{A}\left(B n^{2}+C n+D\right)

, where

A, B, C, D \in \mathbb{N}

and

A

has least value. Then

JEE Main 2023 · 8 Apr, Morning shift · Q5231

JEE Main 20238 Apr, Morning shiftMathematicsMediumSequence and Series179× since 2002

Let

S_{K}=\frac{1+2+\ldots+K}{K}

and

\sum_\limits{j=1}^{n} S_{j}^{2}=\frac{n}{A}\left(B n^{2}+C n+D\right)

, where

A, B, C, D \in \mathbb{N}

and

A

has least value. Then