show that any positive odd integer is of the form 6q+1or6q+3or6q+5wher

1.	show that any positive odd integer is of the form 6q+1or6q+3or6q+5where q is some integer
Answer» Let a be any positive integer a=6q+r where 0< or equal to r <6 put r=1: a=6q+1 =odd integer r=3: a=6q+3=odd integer r=5: a=6q+5=odd integer Therefore , any positive odd integer is of the form 6q+1, 6q+3 or 6q+5,where q is some integer .

show that any positive odd integer is of the form 6q+1or6q+3or6q+5where q is some integer

Answer»

Let a be any positive integer

a=6q+r where 0< or equal to r <6

put r=1: a=6q+1 =odd integer

r=3: a=6q+3=odd integer

r=5: a=6q+5=odd integer

Therefore , any positive odd integer is of the form 6q+1, 6q+3 or 6q+5,where q is some integer .