**Quote:**

… E - which is the only answer that yields an EVEN number.

The answer choice E is odd.

Plug in

*n* = 5 to get

A. 8

B. 6

C. 2

D. 16

E. 27

In general, the proof is the following.

*n* =

*m* × 8 + 5 is given by the question statement. Plug it in E.

E. 5

*n* + 2 = 5(8

*m* + 5) + 2 = 40

*m* + 27 =

*even *+

*odd *=

*odd*