The value of (1 × 2²+2 × 3²+ +100 ×(101)²)/(1² × 2+2² × 3+.+100² × 101) is

Sequence and Series: JEE Main 2024 Mathematics question

JEE Main 2024 · 4 Apr, Evening shift · Q5349

JEE Main 20244 Apr, Evening shiftMathematicsMediumSequence and Series179× since 2002

The value of

\frac{1 \times 2^2+2 \times 3^2+\ldots+100 \times(101)^2}{1^2 \times 2+2^2 \times 3+\ldots .+100^2 \times 101}

JEE Main 2024 · 4 Apr, Evening shift · Q5349

JEE Main 20244 Apr, Evening shiftMathematicsMediumSequence and Series179× since 2002

The value of

\frac{1 \times 2^2+2 \times 3^2+\ldots+100 \times(101)^2}{1^2 \times 2+2^2 \times 3+\ldots .+100^2 \times 101}