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  • Write four more rational numbers in each of the following patterns: (iii) - 1 /6

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

 

    (iii)     \frac{-1}{6}, \frac{-2}{12}, \frac{-3}{18}, \frac{-4}{24}....

Answers (1)

best_answer

We have the pattern:

\frac{-1}{6} = \frac{-1\times1}{6\times1}           \frac{-2}{12} = \frac{-1\times2}{6\times2}              \frac{-3}{18} = \frac{-1\times3}{6\times3}              \frac{-4}{24} = \frac{-1\times4}{6\times4}    

Now, following the same pattern, we have

\frac{-1\times5}{6\times5} = \frac{-5}{30}             \frac{-1\times6}{6\times6} = \frac{-6}{36}            \frac{-1\times7}{6\times7} = \frac{-7}{42}              \frac{-1\times8}{6\times8} = \frac{-8}{48}

Hence, the required rational numbers are:

\frac{-5}{30},\ \frac{-6}{36},\ \frac{-7}{42},and\ \frac{-8}{48}.

Posted by

Divya Prakash Singh

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