Question

Hello My dear friends❤ ❤
show that any positive odd integer is of the form of 4q + 1 or 4q + 3 where q is some integer​

Answer 1

positive odd integer is of the form of 4q + 1 or 4q + 3

let a,b be positive integerand B = 4

a=bq+r

put B = 4 in equation 1

a=bq+r q>0 and n= 1,2,3

substitute r =0= a= 4q

substitue r=1= 4q+1

substitute r=2 =4q+2

substitute r =3= 4q+3

since 4 q and 4q + 3 are divisible by 2 so4 q and 4q + 2 or not an odd integer

remaining cases equation 4 and 5 or odd integer

hence any positive odd integer or in the form of 4q + 1 or 4q+ 3

I hope my answer will help you my dear friend please mark me as brain list

Answer 2

Answer:

1,3,5,7,9,11 put this value in q