Write four more rational numbers in the following pattern:$ \frac{-3}{5}, \frac{-6}{10}, \frac{-9}{15}, \frac{-12}{20} $
Given :
$ \frac{-3}{5}, \frac{-6}{10}, \frac{-9}{15}, \frac{-12}{20} $ is the given pattern.
To do :
We have to write four more rational numbers in the given pattern.
Solution :
Series formed by Numerators is $-3,-6,-9,-12,....$
$-3\times1,-3\times2,-3\times3,-3\times4,.....$
Therefore,
Next four numerators are $-3\times5,-3\times6,-3\times7,-3\times8$ i.e., $-15,-18,-21,-24$.
Series formed by Denominators is $5,10,15,20,....$.
$5\times1,5\times2,5\times3,5\times4,.....$
Therefore,
Next four numerators are $5\times5,5\times6,5\times7,5\times8$ i.e., $25,30,35,40$.
The next four numbers in the series are$\frac{-15}{25}, \frac{-18}{30}, \frac{-21}{35} and \frac{-24}{40}$.
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