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Question

Find five rational numbers between 3 and 4.


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Solution

Compute the required rational numbers :

We can obtain the rational number between a and b using the mean method as meana,b=a+b2, so,

  1. Rational number between 3 and 4 is mean3,4=3+42=72
  2. Rational number between 3 and 72 is mean3,72=3+722=134
  3. Rational number between 3 and 134 is mean3,134=3+1342=258
  4. Rational number between 72 and 4 is mean72,4=72+42=154
  5. Rational number between 154 and 4 is mean154,4=154+42=318

Hence, the five rational numbers between 3 and 4 are 72,134,154,258 and 318.


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