Question

Show that any positive even integer is of the form 4q or 4q +2, where q is any integer

Answer 1

Any positive integer can be represented as 
$4q+a$
  where q is a integer
              a can be 0,1,2,3
if a=0
    then number is 4q 
          so it is divisible by 2
                    So it is an even number
 if a=2
         then number is 
$4q+2=2(2q+1)$
              so it is divisible by 2
                    So it is an even number
    Hence proved

Answer 2

Here is your answer......