Question

Show that any positie inleger
can be written in the form
6q, 6q+2 or 6q+4, where
q is an integer
.
e​

Answer 1

Step-by-step explanation:

let a be any positive integer and b=6,by using Euclid division lemma,

a=bq+r

therefore r= 0,1,2,3,4,5

when r= 0,a=6q+0---------even

when r=1,a= 6q+1-----------odd

when r=2,a=6q+2----------even

when r 3,a=6q+3-------------odd

when r= 4,a=6q+4-----------even

when r=5,a=6q+5---------odd

therefore any positive integer is of the form

6q,6q+2,6q+4.