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Question
Write four more rational numbers in the following pattern:
`(-2)/3, 2/(-3),4/(-6), 6/(-9)...`
Solution
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)`
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