Question

Show that any positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.​

Answer 1

Answer:

see the answer below

Step-by-step explanation:

let b=4

a=bq+r.

r=0,1,2,3

if. r=0

a=4q+0

even

if. r=1

a=4q+1

odd

if. r=2

a=4q+2

even

if. r=3

a=4q+3

odd

Answer 2

Show that any positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.