Write four more rational numbers in each of the following patterns:-

(a)


(b)


(c)


(d)


The parts of the given question are solved below:

(a) We have,



,


We can observe that,


The numerator is a multiple of 3


And the denominator is a multiple of 5


Hence,


The next four rational numbers in this pattern are as follows:


… =


(i) Here, we have,



,


We can observe that,


The numerator is a multiple of 1


Denominator is a multiple of 4


Hence,


The next four rational numbers in this pattern are as follows:


, …


, …


(ii) Here, we have,



,


We can observe that,


The numerator is a multiple of 1


Denominator is a multiple of 6


Hence,


The next four rational numbers in this pattern are as follows:


, …


, …


(iii) Here, we have,



,


We can observe that,


The numerator is a multiple of 2


Denominator is a multiple of -3


Hence,


The next four rational numbers in this pattern are as follows:


, …


, …


2
1