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that every positive even integer is of the form 2q and that every positive
odd integer is of the form 2q + 1, where q is some integer.
Asked by Topperlearning User | 25 Jul, 2017, 04:08: PM
Expert Answer
By Euclid's lemma,
a = bq + r, 0 r < b, a, b, q are integers.
Let b = 2
a = 2q when r = 0, this is an even number
and a = 2q + 1, when r = 1, which is an odd number.
Answered by | 25 Jul, 2017, 06:08: PM
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