Question

Write four more rational numbers in the following pattern:

`(-2)/3, 2/(-3),4/(-6), 6/(-9)...`

Answer 1

Given rational numbers `(-2)/3, 2/(-3),4/(-6), 6/(-9)`

It has been determined

`(-2)/3, 2/(-3), (2 xx 2)/(-3 xx 2), (2 xx 3)/(-3 xx 3)`

Hence, there are four more rational numbers of the same pattern

`(2 xx 4)/(- 3 xx 4) = 8/(-12)`

`(2 xx 5)/(- 3 xx 5) = 10/(- 15)`

`(2 xx 6)/(- 3 xx 6) = 12/(- 18)`

`(2 xx 7)/(- 3 xx 7) = 14/(- 21)`

Hence, there are four more rational numbers in the pattern of the given rational numbers

`8/(-12), 10/(- 15), 12/(- 18)  "and"  14/(- 21)`