The user-friendly version of this content is available here.

The following content is copyright (c) 2009-2013 by Goods of the Mind, LLC.

This problem trains for: SAT-I, AMC-8, GMAT.

For any integer value n, how many values can the expression below have?

equation

n is an integer, therefore it is either even::

equation

or it is odd:

equation

Therefore, for n odd the expression is equal to:

equation

and for n even the expression is:

equation

One can see that the expression is built in such a way as to have the same value,
regardless of the value of n.

The correct answer is A.