Question

Write four more rational numbers in the following pattern:

`(-3)/5, (-6)/10,(-9)/15, (-12)/20, ...`

Answer 1

The given rational numbers are `(-3)/5, (-6)/10,(-9)/15, (-12)/20, ...`

A closer look at the given rational numbers shows that the next rational number is formed by adding 3 to the numerator of the previous rational number and adding 5 to the denominator.

Hence, there are 4 other rational numbers of the same patterns.

`(-12 - 3)/(20 + 5) = (-15)/25`

And, `(-15 - 3)/(25 + 5) = (- 18)/30`

And, `(- 18 - 3)/(30 + 5) = (- 21)/35`

And, `(-21 - 3)/(35 + 5) = (-24)/40`

Hence, there are 4 more rational numbers of the given patterns

`(- 15)/25, (- 18)/30 , (- 21)/35  "and"  (-24)/40...`