Q 2.     Write four more rational numbers in each of the following patterns:

 

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

Answers (1)

We have the pattern:

\frac{-1}{4} = \frac{-1\times1}{4\times1}           \frac{-2}{8} = \frac{-1\times2}{4\times2}              \frac{-3}{12} = \frac{-1\times3}{4\times3}               

Now, following the same pattern, we have

\frac{-1\times4}{4\times4} = \frac{-4}{16}             \frac{-1\times5}{4\times5} = \frac{-5}{20}            \frac{-1\times6}{4\times6} = \frac{-6}{24}              \frac{-1\times7}{4\times7} = \frac{-7}{28}

Hence, the required rational numbers are:

\frac{-4}{16},\ \frac{-5}{20},\ \frac{-6}{24},and\ \frac{-7}{28}.

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