Question

Find five rational numbers between 1 and 2

Answer 1

The rational number between a and b is (a + b)/2
Hence rational number between 1 and 2 is (1+2)/2 = 3/2
Rational number between 1 and 3/2 is [1+(3/2)]/2 = 5/4
Rational number between 1 and 5/4 is [1+(5/4)]/2 = 9/8
Rational number between 3/2 and 2 is [(3/2) + 2]/2 = 7/4
Rational number between 7/4 and 2 is [(7/4) + 2]/2 = 15/8
Therefore five rational numbers between 1 and 2 are 9/8, 5/4, 3/2, 7/4 a

Answer 2

Hiii friend,

Let X = 1 and Y = 2

Clearly N = 5

D = Y-X/N+1 = 2-1/5+1 = 1/6

Therefore,

Five RATIONAL NUMBERS between 1 and 2 are:

X + D , X+2D , X+3D , X+4D, X+5D

1+1/6 , 1 + 2 × 1/6+ 1 + 3 × 1/6 , 1 + 4 × 1/6 , 1+ 5 × 1/6

=> 6+1/6 , 3+1/3, 2+1/3 , 3+2/3 , 6+5/6

=> 7/6 , 4/3 , 2/3, 5/3, 11/6

=> 7/6 , 4/3 , 1/2 ,5/3 , 11/6

HOPE IT WILL HELP YOU...... :-)