Question

show that any +ve odd integer is of the form 4q+1or 4q+3 where q is a +ve integer.

Answer 1

If n= 2q then 2n+1 = 4q +1
If n =2q+1 2(2q+1)+1= 4q +3
Did you get it?

Answer 2

Any odd integer is of the form
2n +1