Question

Show that every positive even integer is of the form 2q and every positive odd integer is of the form 2q + 1, where q is some integer. Hint: According to Euclid's Division Lemma​

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. If a is of the form 2q, then a is an even integer. ... Therefore, any positive odd integer is of form 2q + 1.

Answer 2

Answer:

here is your answer

Step-by-step explanation: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. If a is of the form 2q, then a is an even integer. ... Therefore, any positive odd integer is of form 2q + 1.