Question

Show that any positive integer is of the form 6q+1 or 6q+3 or 6q+5 where q is some integer.

Answer 1

this is the answer of this question

Answer 2

According to Euclid's division lemma,
a = bq + r
where,
$b > r \geqslant 0.$

So,
(a) may be
6q+1,
6q+2,
6q+3,
6q+4
or
6q+5.



So,
Any odd positive integers is of the form
6q + 1,6q + 3 or 6q + 5.





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