Question

show that every+be integer either of the from 3q11or 3q+2as is some integer
??​

Answer 1

Step-by-step explanation:

let a be any positive integer

and b=3

by Euclid division lemma we know that

a=bq+r

where r is equal or greter than 0 and smaller than b

so r=0,1,2

when r=0, a=3q

when r=1 , a=3q +1

when r =2 =3q+2

so hence , every positive integer is of the form 3q ,3q+ 1, 3q +2