# Sum of Fractions

Algebra Level 4

$S = \frac {1}{1\times 2 \times 3} + \frac {1}{2\times 3 \times 4} + \ldots + \frac {1} {(n)(n+1)(n+2)}$ $+ \ldots +\frac {1}{14 \times (14+1) \times (14+2)} = \frac {a} {b},$ where $a$ and $b$ are positive, coprime integers. What is the value of $a + b$?

×

Problem Loading...

Note Loading...

Set Loading...