Question

Show that any positive odd integer is of the form 2q +1 where q is some integer.

Answer 1

Hey Ma8,

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by euclids division lemma

$0 \leqslant \: r \leqslant b \\ \\ here \: b \: = 2 \\ hence \: r \: = 0,1 \\ if \: r \: = 1 \\ \\ then \: 2q \: + 1 \\ \\ \\ hence\: proved. \\ \\********** \\ follow \: me \: \\ \\ then \: i \ \: will \: follow \: you \ \\ \\ back$

Answer 2

a=2q+1 - - - - 1

Now from 1 a positive integer is of the form 2q+1 where q is some integer.