Show that any positive integer is …
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Preeti Dabral 2 years, 9 months ago
Let p be any positive integer and b = 3. Applying division Lemma with p and b =3 ,
we have
p = 3q + r, where 0 {tex}\leq{/tex} r < 3 and q is some integer
So r=0,1,2
If r=0 , p=3q
If r=1, p=3q+1
If r=2, p=3q+2
Therefore any positive integer is of form 3q,3q+1,3q+2 for some integer q.
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