SEAMO 2017 — Paper D — Grade 7–8 Question 8

Question 8

Evaluate $\left(\frac23+\frac34+\cdots+\frac{49}{50}\right)\left(\frac12+\frac23+\cdots+\frac{48}{49}\right)-\left(\frac12+\frac23+\cdots+\frac{49}{50}\right)\left(\frac23+\frac34+\cdots+\frac{48}{49}\right)$.

$\frac{49}{100}$
$\frac{99}{100}$
$\frac{49}{50}$
$\frac{49}{50}$
$1$