Question 2 (i)

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

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Solution

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

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Similar questions

\frac{- 3}{5}, \frac{- 6}{10}, \frac{- 9}{15}, \frac{- 12}{20}, . . .

\frac{- 1}{4}, \frac{- 2}{8}, \frac{- 3}{12}, . . .

Question 2 (iv)

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

Question 2 (iii)

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

Write four more rational numbers in each of the following patterns:

(i) (ii)

(iii) (iv)

\frac{- 1}{3}

\frac{- 2}{6}

\frac{- 3}{9}

\frac{- 4}{12}

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