Question

Show that any positive odd integer is of form 4q+1 and 4q+3 where q is a positive integer

Answer 1

let a be any positive integer 
by EDL  a = bq +r 
0 ≤ r < b
possible remainders are 0, 1, 2 , 3 
 this shows that a can be in the form of 4q, 4q+1, 4q+2, 4q+3 q is quotient 
as a is odd a  can't be the form of 4q or 4q+2 as they are even
so a ill be in the form of 4q + 1 or 4q+3 
hence proved


 
HOPE THIS WILL BE HELPFUL  !!!!!!

Answer 2

pls mark me brainliest