Question

2.
on lemma to show that any possitive odd integer is of the form of 6q+1 ir
6q+3 or 6q+5 where q is integer, is same in terms.​

Answer 1

Answer:

let a be any positive odd integer

we apply division algorithm a and b=6

since 0<_r<6 then the possible remainders are 0,1,2,3,4,5

then a can be 6qor 6q+1 or 6q+2or 6q+3 or 6q+4or 6q+5

6q or 6q+2 or 6q+4 are positive integers

6q+1 or 6q+3 or 6q+5 are odd positive integers where q is some integer