Question

Find 4 rational numbers between 1.20200200... and 1.212112111

Answer 1

1/2 ( U+V) - THIS IS THE FORMULA TO FIND RATIONAL NUMBER IN BETWEEN

lets take U = 1.203 V = 1.211

these 2 are two rational numbers between 1.20200200... and 1.212112111 as they can be expressed as p/q ( 1.203 = 1203/1000 , 1.211 = 1211/1000 )

we need 2 more , applying formula

1/2(1.203 + 1.211) = 1.207

now we are finding a rational number between 1.203 and 1.207 which will be between 1.203 and 1.211

1/2 (1.203 + 1.207) = 1.205


so they are 1.203 , 1.211 , 1.207 , 1.205