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:

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.

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