Question

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

Answer 1

Answer:

Show that every positive even integer is of the form 2q and every positive odd integer is of the form 2q+1, where q is a whole number. (i) Let 'a' be an even positive integer. since 'a' is an even positive integer, 2 divides 'a'. Hence, a=2q when 'a' is an even positive integer.

Step-by-step explanation:

this the answer

Answer 2

Answer:

HOPE THIS BRING A SMILE IN YOUR FACE

Step-by-step explanation:

Let the positive integer be 'a'.

a=bq+r,b>r>or equal to 0

a=2q+1.

r=0,1

If r=0

a=2q+0

a=2q

Since a is a multiple of 2, it can't be positive.

If r=1,

a=2q+1

A successor of a multiple of 2 is always odd.

Therefore a=2q+1.