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

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

1.	Show that any positive odd intger is of the form 6q+1,or 6q+3,or 6q+5 where q is some integer
Answer» 0 Let n be a given positive odd integer . On dividing n by 6 , let m be the quotient and r be the reminder Then by Euclid division lemma ,we have n =6m+r where 0