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Question

Find three rational numbers lying between 15and14.

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Solution

Let:
x = 15, y = 14 and n = 3
We know:
d = y-xn+1 = 14-153+1 = 1204 = 180

So, three rational numbers lying between x and y are:

(x + d), (x + 2d) and (x + 3d)

= 15+180, 15+280 and 15+380

= 1780,1880 and 1980

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