Question

N is an odd number.

Which statements are true?
You must get them all correct to get any marks.
A: n²-1 is odd
E: n(n-2) is odd F: (n-2)² is odd
B: n(n-1) is odd C: (n-1)² is odd
D: n² + 2 is odci

Answer 1

True:

D.

E.

F

Explanation:

First, you should know that the square of any odd number is also odd.

The easiest way to go about this is to plug in an odd number for n. Lets use 3:

Plug 3 into A:

`3^(2) -1=9-1=8`

Plug 3 into B:

`3(3-1)=9-3 = 6`

Plug 3 into C:

`(3-2)^(2) = 2^(2) = 4`

Plug 3 into D:

`3^(2) +2 = 9+2=11`

Plug 3 into E:

`3(3-2) = 9-6 = 3`

Plug 3 into F:

`(3-2)^(2)=1^(2) =1`