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Question

Find five rational numbers between 2 and 3 by mean method.


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Solution

Compute the required rational numbers by mean method :

The rational number between aand b can be obtained by calculating the mean of a and b i.e. meana,b=a+b2.

  1. Rational number between 2 and 3 is mean2,3=2+32=52
  2. Rational number between 2 and 52 is mean2,52=2+522=94
  3. Rational number between 2 and 94 is mean2,94=2+942=178
  4. Rational number between 52 and 3 is mean52,3=52+32=114
  5. Rational number between 114 and 3 is mean114,3=114+32=238

Hence, the five rational numbers between 2 and 3 are 52,94,178,114 and 238.


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