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e ind three rational numbers lying between andHow many rational numbers can be determined betweennumbers?

Answer»

We have to find three rational number between1515and1414.Let us considerx=1515, y=1414.Let us considern = 3.

We find the value ofd.d=y−xn+1=14−153+1=1204=180y-xn+1=14-153+1=1204=180.

Thus, the three rational numbers lying betweenxandywill be given as,

(x+d), (x+ 2d) and (x+ 3d).Substituting the values ofxandd,we get,

(15+180),(15+280)and(15+380)15+180,15+280and15+380

Thus,1780,1880, and19801780,1880, and1980Therefore, the rational numbers lying between1515and1414are1780,1880,1980



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