Question

100 rational numbers can be inserted  between 2 and 7? give your views on this statement

Answer 1

My view is that between any two rational numbers, there are
an infinite number of other rational numbers.

That's my view and I'm sticking to it.

Answer 2

`a= (7-2)/(101) = (5)/(101) \\\\x_1=2+a=2 (5)/(101)\\\\x_2=2+2a=2 (10)/(101)\\\\x_3= 2+3a=2 (15)/(101)\\\\....\\\\x_(98)=7-3a=7- (15)/(101)=6 (86)/(101)\\\\x_(99)=7-2a=7- (10)/(101)=6 (91)/(101)\\\\x_(100)=7-a=7- (5)/(101)=6 (96)/(101)`