show that every positive even integer is of the form 29 and that every positive odd integer is of the form 2q + 1, where q is some integer.
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let 'a' be any positive integer and b=2
By euclid's division algorithm
a=bq+r 0≤r<b
a=2q+r 0≤r<2
(i.e) r =0,1
r=0 , a=2q+0=> a=2q
r=1, a=2q+1
if a is the form of 2m then 'a' is an even integer and positive odd integer is of the form 2m+1
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