Question

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

Answer:

Show that any positive odd integer is of the form 6q + 1 or 6q + 3 or 6q + 5; where q is some integer. Answer: According to Euclid's Division Lemma if we have two positive integers a and b, then there exist unique integers q and r which satisfies the condition a = bq + r where 0 ≤ r < b.