1.

Show that everyptivale meShow that any positive odd integer e of the f

Answer»

Letabe any positive integer andb= 2.Applying Euclid’s algorithm, we have:a= 2q+r, for some integerq≥ 0, and 0 ≤r< 2a= 2qor 2q+ 1Ifa= 2q, thenais an even integer.Now, a positive integer can either be even or odd. Thus, any positive odd integer is of the form 2q+ 1.



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