Mathematics

Problem

The sum of the series:

\frac{1}{1 \times 2} + \frac{1}{2 \times 3} + \frac{1}{3 \times 4} + \dots + \frac{1}{100 \times 101}

is equal to (A)

\frac{200}{101}

(B)

\frac{100}{101}

(C)

\frac{50}{101}

(D)

\frac{25}{101}