Question

Use division algorithm to show that any positive odd integer is ofthe form 6q+1,
or 6q+3 or 6q +5, where q is some integer.​

Answer 1

Step-by-step explanation:

let a be any positive integer b- 6

by euclid division algorithm a = bq+ r

b<r<0

6q ,6q+2 ,6q+4 is divisible by 2 hence its positive even integer.

hence 6q+1 ,6q + 3 ,6q+ 5 is odd integer .