Question

Show that every positive odd integer is of the form 2q+1 for some integer q

Answer 1

If q is an even number then 2q+1 is an odd number.
Examples:
1.Let q=2
2q+1=2×2+1=4+1=5
5 is an odd number.
2.Let q=4
2q+1=2×4+1=8+1=9
9 is an odd number.
3.Let q=0
2q+1=2×0+1=0+1=1
1 is an odd number.
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