Show that any positive odd integer is of the form 6q+1 or 6q+3 or 6q+5 where q is some integer

Show that any positive odd integer is of the form 6q+1 or 6q+3 or 6q+5

1.	Show that any positive odd integer is of the form 6q+1 or 6q+3 or 6q+5 where q is some integer
Answer» Let any posite odd integer be \'a\'.a=bq+r 0 <_ r < b b= 6 a= 6q+ r 0<_ r < 61) r= 0 , a= 6q2) r=1 , a= 6q+12) r=2 , a= 6q+23) r=3 , a= 6q+34) r=4 , a= 6q+45) r=5 , a= 6q+5Therefore, any positive integer can be in the form 6q, 6q+1, 6q+2, 6q+3, 6q+5.Here is your answer.