Final answer:
To determine if a statement is true or false and provide a counterexample, it is necessary to evaluate the statement and test it with different values.
Step-by-step explanation:
The question asks whether the given statement is true or false and provides a counterexample if it is false. To answer this, we need to carefully evaluate the statement and test it with different values of k. Without the actual statement, it is not possible to determine the truth value or provide a counterexample. Please provide the statement so that I can assist you further.