Question

show that any positive odd integer is of the Form 8 q + 1 or 8 q + 3 or 8q+ 7 where Q is some integer​

Answer 1

Answer:

See as we all know, if we add an even no. to odd number we get a odd number:-

2+3=5

And also that,whenever we multiply and even and odd number we again get even number:-

2*3=6

thus

let q be 2

8*2 +1 = 16+1 = 17 (odd number)

8*2 +3 = 16+3 = 19 (odd number)