Question

For some integer
q
, every odd integer is of the form
(A)
q
(B)
q
+ 1
(C) 2
q
(D) 2
q
+ 1

Answer 1

@abhi_abhi

Answer 2

Think it through. For integer q

1) 2q must be even right, because it has a factor of 2

2) q + 1, might be even or odd. It depends on q.

3) 2q + 1, must be an even number plus 1, so this is always odd

4) q, like option 2 this is even or odd depending on q.

From this quick assessment, you can see that the correct answer must be 3.

Answer 3

Pretty poorly formatted answers...

You can derive this rule yourself.

1, 3, 5, 7, ...

It's an arithmetic sequence - first term is 1, common difference is 2.

\[\Large a _{n} = a_1 + (n-1) d\]

Answer 4

(D) 2
q
+ 1