Question

Can we insert 100 rational bets between 2 and 7 if yes why?

Answer 1

Yes we can infinite numbers between 2 and 7 as

d=y-x

_____

n+1

y=7

x=2 n=100

7-2/100+1=9/101 9/101 =d

Req. Nos. (x+d)....... (x+100d)