The value of is.

MATHEMATICS · Single correct · ISC · Mathematics · Algebra · Algebra

Problem

The value of

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

is. (A)

\frac{306}{305}

(B)

\frac{305}{301}

(C)

\frac{32}{31}

(D)

\frac{31}{30}