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Sequences and Series question

2024 · 4 Apr · Shift 2 · Q33

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JEE Main
Mathematics
Sequences and Series
2024 · 4 Apr · Shift 2 · Q33

Sequences and Series question

2024 · 4 Apr · Shift 2 · Q33

JEE MainMathematicsSequences and SeriesMCQ+4 / −1

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}

is

A
$\frac{305}{301}$
B
$\frac{306}{305}$
C
$\frac{32}{31}$
D
$\frac{31}{30}$

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