Question

Use division algorithm to show that any positive odd integer is of the 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 and b =6

we know that a=bq+r

therefore , a=6q+r , for some integer q greater then or equal to 0 and r=0 or r=1

hence , 6q+r is any odd positive integer if r =1or, 3 or, 5 .

so any positive odd integer is of the form 6q+1 or, 6q+3, or 6q+5