Question

Question 2 (iii)

Write four more rational numbers in the following patterns:
$\frac{-1}{6},\frac{2}{-12},\frac{3}{-18},\frac{4}{-24}$

Answer 1

$\frac{-1}{6},\frac{2}{-12},\frac{3}{-18},\frac{4}{-24},\cdots \cdots$
$\Rightarrow \frac{1\times 1}{-6\times 1},\frac{1\times 2}{-6\times 2},\frac{1\times 3}{-6\times 3},\frac{1\times 4}{-6\times 4},\cdots \cdots$
Therefore, the next four rational numbers of this pattern would be
$\Rightarrow \frac{1\times 5}{-6\times 5},\frac{1\times 6}{-6\times 6},\frac{1\times 7}{-6\times 7},\frac{1\times 8}{-6\times 8}$ = $\frac{5}{-30},\frac{6}{-36},\frac{7}{-42},\frac{8}{-48}$