Question

Show that every positive even jntegers is of the form 2q, & that every positive odd integers is of the form 2q + 1, where q is some integers.

Answer 1

Answer:

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Answer 2

Question :–

Show that every positive even jntegers is of the form 2q, & that every positive odd integers is of the form 2q + 1, where q is some integers.

Solution :–

Euclid's division lemma.

$\boxed{\sf \red{a = bq + r}}$

$\boxed{\sf \red{a = 2q + r}}$

(1) If a is even number then r = 0.

→ a = 2q + 0

→ a = 2q

(2) If a is odd number then r = 1

→ a = 2q + 1