Question

Question 2 (iv)

Write four more rational numbers in the following patterns.
$\frac{-2}{3},\frac{2}{-3},\frac{4}{-6},\frac{6}{-9},\cdots \cdots$

Answer 1

$\frac{-2}{3},\frac{2}{-3},\frac{4}{-6},\frac{6}{-9},\cdots \cdots$
$\Rightarrow \frac{-2\times 1}{3\times 1},\frac{2\times 1}{-3\times 1},\frac{2\times 2}{-3\times 2},\frac{2\times 3}{-3\times 3},\cdots \cdots$
Therefore, the next four rational numbers of this pattern would be
$\frac{2\times 4}{-3\times 4},\frac{2\times 5}{-3\times 5},\frac{2\times 6}{-3\times 6},\frac{2\times 7}{-3\times 7},=\frac{8}{-12},\frac{10}{-15},\frac{12}{-18},\frac{14}{-21}$