Question

show that any positive odd integer is of the form 6m+1 or 6m+3 or 6m+5 Where n is some integer

Answer 1

let a positive integers 1,2,3,4,5 6
6m+1 odd
6m+2 even
6m+3 odd
6m+4 even
6m+5 odd
6m+6 even.
so 1,3,5 it a odd integers

Answer 2

Let q be any positive integer.
b=6,r=0,1,2,3,4,5
q=6m,6m+1,6m+2,6m+3,6m+4,6m+5.
Therefore,6m+1,6m+3 and 6m+5 are odd positive integer.