Q. 23.8( 141 Votes )

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

(b)

(c)

(d)

Answer :

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 and denominator are a multiple of increasing natural numbers.

Hence,


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


, …


, …


(ii) Here, we have,



,


We can observe that,

The numerator and denominator are a multiple of increasing natural numbers.


Hence,


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


, …


, …


(iii) Here, we have,



,


We can observe that,


The numerator and denominator are a multiple of increasing natural numbers.


Hence,


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


, …


, …

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