Question

Show that an even integer is of the form 6q, 6q+2 , 6q+4. Where q is positive integer

Answer 1

Step-by-step explanation:

let a e a y positive integer

By Euclid division lemma

bq+r

6q+r

where r= 0;1;2;3;4 and 5

now,

a=6q+0

a= 6q+1

a=6q+2

a=6q+3

a=6q+4

a= 6q+5

therefore, it is proved..