Question

Show that every even positive integer is of the form 2n, and that every positive odd integer is of the form 2n+1, where n is an integer.

Answer 1

Even,
2n=even number
n=1,n=2,n=3
2x1=2
2x2=4
2x3=6
Hence proved

Odd,
2n+1=oddnumber
n=1,=2,n=3
2x1+1=3
2x2+1=5
2x3+1=7
Hence proved