Question

Question 2 (ii)

Write four more rational numbers in the following patterns.
$\frac{-1}{4},\frac{-2}{8},\frac{-3}{12}\cdots \cdots$

Answer 1

$\frac{-1}{4},\frac{-2}{8},\frac{-3}{12}\cdots \cdots$
$\frac{-1\times 1}{4\times 1},\frac{-1\times 2}{4\times 2},\frac{-1\times 3}{4\times 3},\cdots \cdots$
Therefore, the next four rational numbers of this pattern would be
$\frac{-1\times 4}{4\times 4},\frac{-1\times 5}{4\times 5},\frac{-1\times 6}{4\times 6},\frac{-1\times 7}{4\times 7}=\frac{-4}{16},\frac{-5}{20},\frac{-6}{24},\frac{-7}{28}$