Question

Question 2 (i)

Write four more rational numbers in the following patterns:
$\frac{-3}{5},\frac{-6}{10},\frac{-9}{15},\frac{-12}{20}\cdots \cdots$

Answer 1

$\frac{-3}{5},\frac{-6}{10},\frac{-9}{15},\frac{12}{20}\cdots \cdots$
$\Rightarrow \frac{-3\times 1}{5\times 1},\frac{-3\times 2}{5\times 2},\frac{-3\times 3}{5\times 3},\frac{-3\times 4}{5\times 4},\cdots \cdots$
Therefore, the next four rational numbers of this pattern would be
$\frac{-3\times 5}{5\times 5},\frac{-3\times 6}{5\times 6},\frac{3\times 7}{5\times 7},\frac{-3\times 8}{5\times 8}=\frac{-15}{25},\frac{-18}{30},\frac{-21}{35},\frac{-24}{40}$