Question
Write four more rational numbers in $\frac{-1}{4}, \frac{-2}{8}, \frac{-3}{12}, \ldots . .$
✓
Answer
$-\frac{1}{4},-\frac{2}{8},-\frac{3}{12}$...
We have $-\frac{1}{4}=-\frac{1 \times 1}{4 \times 1}$
$-\frac{2}{8}=-\frac{1 \times 2}{4 \times 2}$
$-\frac{3}{12}=-\frac{1 \times 3}{4 \times 3}$
Thus, we observe a pattern in these numbers.
Four more rational numbers would be
$\frac{-1 \times 4}{4 \times 4}=-\frac{4}{16}, \frac{-1 \times 5}{4 \times 5}=-\frac{5}{20}$
$\frac{-1 \times 6}{4 \times 6}=-\frac{6}{24}$ and $\frac{-1 \times 7}{4 \times 7}=-\frac{7}{28}$
We have $-\frac{1}{4}=-\frac{1 \times 1}{4 \times 1}$
$-\frac{2}{8}=-\frac{1 \times 2}{4 \times 2}$
$-\frac{3}{12}=-\frac{1 \times 3}{4 \times 3}$
Thus, we observe a pattern in these numbers.
Four more rational numbers would be
$\frac{-1 \times 4}{4 \times 4}=-\frac{4}{16}, \frac{-1 \times 5}{4 \times 5}=-\frac{5}{20}$
$\frac{-1 \times 6}{4 \times 6}=-\frac{6}{24}$ and $\frac{-1 \times 7}{4 \times 7}=-\frac{7}{28}$
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