Respuesta :

The next fraction in this sequence is 11/14

Given data

1/2, 4/7, 9/14, 5/7,.....

How to find the next umber in the sequence

The sequence is an arithmetic sequence and the terms are gotten by successive addition of the common difference

first term + difference = 2nd term

1/2 + d = 4/7

d = 4/7 - 1/2

d = 1/14

finding the fifth term

4th term + difference = 5th term

5/7 + 1/14 = 5th term

5th term = 11/14

Read more on arithmetic sequence here: https://brainly.com/question/6561461

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