Value sum the first ten terms of sequence numbers
$latex \frac {1}{1 \cdot 2} + \frac {1}{2 \cdot 3} + \frac {1}{3 \cdot 4} + \frac {1}{4 \cdot 5} + \cdots + \frac {1}{9 \cdot 10} + \frac {1}{10 \cdot 11} = … $
SOLUSI
Perhatikan pola berikut:
$latex \frac {1}{1 \cdot 2} = \frac {1}{2} $
$latex \frac {1}{1 \cdot 2} + \frac {1}{2 \cdot 3} = \frac {2}{3} $
$latex \frac {1}{1 \cdot 2} + \frac {1}{2 \cdot 3} + \frac {1}{3 \cdot 4} = \frac {3}{4} $
$latex \vdots $
Dengan demikian,
$latex \frac {1}{1 \cdot 2} + \frac {1}{2 \cdot 3} + \frac {1}{3 \cdot 4} + \frac {1}{4 \cdot 5} + \cdots + \frac {1}{9 \cdot 10} + \frac {1}{10 \cdot 11} = \frac {..}{..} $